I was trying to install the latest Flash player from Adobe on my Ubuntu Jaunty release, and kept getting the error, Error: Wrong architecture 'i386'. Apparently, they do not offer the 64 bit version for Linux yet, although I could have sworn that they released it. Anyways, thanks to this post on another blog, I was able to use a simple script to install it.
Simply open your terminal and type
Make it executable with
sudo chmod +x flash10_en.sh
then run it
sudo sh ./flash10_en.sh
It's that simple. The script will close your browser, install the plugin, and you are done. Works like a charm.