databases out there with trillions upon trillions of matched key pairs.
Some people have a hard time imagining how big the search space is. It is clear here from using "trillions upon trillions" too. To put simply you are thinking in terms of a grain of sand compared to all the sand in the world.
Here is a trillion compared to 2
256 which is about the number of private keys there are. It helps you visualize how ridiculous it is even if you search "trillions upon trillions" of keys!
1000000000000
115792089237316195423570985008687907853269984665640564039457584007913129639936