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You can't really compare them that way. Ancient Egypt pre-dated the other two. Then came Ancient Greece (the foundation of Western Civilization aka the "European Miracle"). The Romans came later and built from what the Greeks accomplished. As far as I know, only the Romans went out and spread civilization thru conquest to large regions of Europe. Their spreading of civilization was a watershed for the Continent. The modern world is hardwired on western principles.
Who was more advanced in terms technology could be a matter of debate. They were probably similar and the Greeks may have benefited from knowledge filtered down from the earlier Egyptian empire. But as far as concrete influence is concerned, if it wasn't for the Greeks who knows if any of this would exist today.
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