The Sevenmachines Adobe Flash Player 64bit PPA for Ubuntu has just been updated with the latest Adobe Flash Player "Square" 10.2.161.22 (64bit obviously) for Ubuntu 9.10, 10.04 and 10.10 so now it's even easier to install it!
If a while back Adobe wasn't very interested in its 64bit Linux users and discontinued Adobe Flash Player 10.1 for 64bit, the new Adobe Flash Player codename "Square" developer preview released by Adobe today is also available for 64bit Linux systems (and obviously, 32bit too).
In case you don't know: Chromium is the open-source project behind Google Chrome so do not mix them.
If you wish, you can install Chromium 64bit instead of Google Chrome:
* The amd64 package is no longer using ia32-libs. It contains *native* 64bit debs.
Yesterday, Adobe released an alpha version of Flash Player plug-in version 10 for x86_64 architecture. This is a prerelease version of the Adobe® Flash® Player 10 software 64-bit Linux platforms.