Your going to have to re created the animation with the reduced file size images. Or as has been suggested don't use Flash at all, if it is a simple animation you can use animated png or gif.
If it is functionally required for your site to operate then you need to rework your site to be able to operate without the use to flash, flash is for silly little animations and flash video it is not for creating websites, nor parts of websites.
And re reading the first post you said its a slide show just make it with CSS and AJAX. Slide shows are not something that requires flash, you can create a slide show similar to the one demonstrated
here or even better ones just using HTML, CSS, and AJAX. It will consume less resources on the client, not require a property plug in, be much more scalable as you will not need to recompile to change a picture or add more, and be more accessible as screen readers and other accessibility tools do not work with flash.