You will make beer, maybe pretty good beer, but be aware that you could also have created problems with what you have done.
Normally when you pitch yeast, it goes through a phase of reproduction, creating new yeast cells. If you pitch the 'right' amount, it will grow about 6X in the beer before it starts to create alcohol.
What happened with your beer, is that the yeast in the cake was so large, that very little new yeast was required to get to the right level, so there was virtually no reproduction phase, and very little new yeast cells produced.
You have 'old' and tired yeast fermenting this beer. They will probably get the job done. You may have a higher FG than you would have normally, but you will never notice. You will have less yeast flavors from the reproduction phase. You may also have more fusel alcohols.
Chances are, you will have a good beer and not really see any issues with this practice. Secret is; you would have had a better beer if you had removed some of the yeast and allowed it to go through the reproduction phase creating new yeast to ferment your beer.