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Therefore the Earth's minimum distance is 0.9833 AU and Venus's maximum distance is 0.7282 AU. The difference is 0.2551 AU so the minimum distance from the Earth to Venus is 38.16 million km.
The Moon is 385000 km from Earth (in average). The average distance of Venus is 108000000 km from Earth. So the ratio is #108000000/385000 \approx 280#. The rocket used to go to the Moon, the Saturn V, took 3 days. Then, a similar rocket, would take #3*280=840# days or #2.3# years. Of course a mission on Venus would probably be done with a better technology and fastest rocket, so this is just a guess.