64 bit doesn't mean more RAM, it means more address space for each individual process. You can have 32 GB of RAM and use ten 32-bit applications using 3 GB each and have some spare RAM. With 64 bit, a video editing application running on a machine with 1 GB of RAM can map a 2 hour video in MiniDV format = about 21 GB completely into virtual memory and let you edit it.
In addition, 64 bit means sixteen 64-bit integer registers instead of eight 32-bit integer registers, which makes some applications a lot faster, even when they don't use much memory at all.