Some PCs 32-bit OS, other 64-bit OS - is it a problem?

We have some machines running XP and one running Windows 7 64-bit.  In Win7, we get a couple errors.  Can't fill out data card, and "file format not recognized" when checking in part and drawing files.  We were told it's because we're running both 32-bit and 64-bit seats, does this sound accurate?

I took a PC and installed Windows 7 32-bit so it would get along with XP but get the same errors.  Anyone experience problems when having some PCs with one OS and others with another?

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