I have been using 64-Bit Ubuntu for a while and all the apps that I was using were available in 64-Bit version. Until I was to install Adobe Air. The binary provided on Adobe’s side is 32-Bit only. Found this nice blog post which explains how to make it work on 64-bit Ubuntu, this documentation is better than the suggestions given in Adobe’s knowledge base.
I have uploaded the file, You can down it from here if you need: