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Depends what you mean by "significance."

We know there is SOMETHING out there in our Universe that exerts a gravitational force but does not otherwise interact with ordinary, baryonic matter. However, we do not yet know what this stuff IS. So, in the same way that highly penetrating rays are still called 'X' rays -- even though they are no longer so mysterious that we need to give them the moniker 'X' -- we presently call this stuff "dark matter."

When we finally are able to figure out what dark matter is, it will most likely radically change our understanding of the nature of our Universe -- in the same way that x-rays did.

It may turn out that dark matter will have no effect on our daily life. Or, once we understand what this stuff is, it may turn out to be as important to us as x-rays are today. In that sense dark matter may or may not have much "significance" to most people.

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