If there was a population-based World House of Representatives: how big?

[Blue3]

If, sometime over the next 100 years, we get a world government that's a progressive liberal democracy, with a population-based House of Representatives (like the one in the United States today) in a presidential system (like the US), then how big and how representative should it be?

Let's say that, when this government for all humanity forms (peacefully), there's 10 billion people and it's projected to remain stable at 10 billion due to lower birth rates.

Would it be better to have one Representative per 10,000 people... and therefore 1 Million Representatives?
(Perhaps that could work with a Geography-based Committee system...
* where those 1 Million representatives are then placed into 100 groups of 10,000 each, and choose a super-representative for that entire group...
* and those 10,000 super-representatives are then grouped into 100 groups of 100 each, and choose an ultra-representative for that entire group...
* and those 100 ultra-representatives represent the third and final "geographic committee" level for the House...
* all bills must start at the lowest level and pass through to the highest level, before going to the President's desk for approval or veto)

Or would it be better to have one Representative per 1 Million people... and therefore 10,000 Representatives? Should they then still do a similar geography-based committee system, described above?

How about a House of Representatives larger than 1 Million? What number, then? And how would it be set-up?

Smaller than 10,000? What number, then? And how would it be set-up?

Somewhere between 1 Million and 10,000? What number, then? And how would it be set-up?

[Blue3]

I've literally been trying to divide the world into 1000 districts since this thread. I have the USA and half of China done this far.

that's awesome!