well you still have a chance. my case was a bit difference. i didnt realize till it was too late. I had vista ultimate 32 and wanted to upgrade to 7. and i used the student upgrade thing that microsoft has and i got 7 pro 64. and since it cant upgrade from vista ultimate 32 to 7 pro 64, i went and did a fresh install for the 7 pro 64. but, the serial number they gave me was for the upgrade only and fresh install didnt work. so now i have an extra 7 pro 64 bit lying around that im trying to get rid of and put towards 7 ultimate. my issue was going using an upgrade key for a fresh install.
the reason im assuming that you will have trouble is cause of how specific microsoft has been. ive never seen anything indicating that 7 is sold with 32 and 64 bits on one disk or that one key will work for the other. if they sell the discs seperatly, i dont see them giving out dual function keys. even when i was doing my fresh install, i dont remember seeing an option to select 32 or 64. and if you need to get a new install disc, youll be getting a new key too.