Here's a least one video where the detonation is barely distinguishable from the fireworks behind it.
http://www.youtube.com/watch?v=zmZJc68zyAA&feature=fvw
Start listening at 51 seconds in the video.
Here's another one, where the only sound barrier appears to be window glass and a few blocks distance. Certainly not Hoboken to lower Manhattan:
http://www.youtube.com/watch?v=_yrpQrYdvTY&feature=related
No actual known distance, and most likely, behind double-pane insulated glass. Why you ask? Safety reasons. They are on a higher floor in what appears to be an apartment, and as such, requires extra safety so someone doesn't fall out of a window.
Some points to consider:
1) the detonations we hear in standard controlled demolitions may be those ones in the outside walls of the buildings, and not the inner core.
Specualtion at it's best. Why is it that you believe that?
2) your own progressive collapse theory posits that "once collapse began, its progression was inevitable." Of course, I don't believe this, but it might make more sense if we think of strategically placed charges focussed on sinking the core. This might allow gravity to do the bulk of the work.
But yet, the core remained standing after the collapse.
Not to mention, the fact that many people have studied the collapses, and determined that once it began to fall, it would continue to fall.
See here
http://www.civil.northwestern.edu/people/bazant/PDFs/Papers/405.pdf
Here
Newland, D.E., & Cebon, D.
"Could the World Trade Center Have Been Modified to Prevent Its Collapse?"
Journal of Engineering Mechanics v. 128, no. 7, (2002):795-800.
and here
Use of high-efficiency energy absorbing device to arrest progressive collapse of tall building
Zhou, Q., Yu, T.X. 2004 Journal of Engineering Mechanics 130 (10), pp. 1177-1187
All of these peer-reviewed, published papers (No Bentham or JO911S here) all state that once the collapse began there was no stopping it. The second two papers went so far as to study to see if some engineering methods could be implemented to prevent tall building collapses.
3) With the upper floors already beginning to descend, would these alleged "millions" of people who "heard no explosions" might have mistaken what were explosion sounds for the sound of the building collapsing?
No. See above. No need for bombs or explosives once the collapse began.