To multiply 47293851 by 68027419 exactly, we can use the standard multiplication algorithm.

We will break down the multiplication into several steps, multiplying 47293851 by each digit of 68027419, and then summing the results.

We can write the multiplication as:
$47293851 \times 68027419 = 47293851 \times (60000000 + 8000000 + 000000 + 20000 + 7000 + 400 + 10 + 9)$

This can be calculated as:
$47293851 \times 9$
$47293851 \times 10$
$47293851 \times 400$
$47293851 \times 7000$
$47293851 \times 20000$
$47293851 \times 000000$ (which is 0)
$47293851 \times 8000000$
$47293851 \times 60000000$

Let's perform these multiplications:

1.  $47293851 \times 9 = 425644659$
2.  $47293851 \times 10 = 472938510$
3.  $47293851 \times 400 = 18917540400$
4.  $47293851 \times 7000 = 331056957000$
5.  $47293851 \times 20000 = 945877020000$
6.  $47293851 \times 8000000 = 378350808000000$
7.  $47293851 \times 60000000 = 2837631060000000$

Now, we sum these results:
```
                      425644659
                     472938510
                   18917540400
                  331056957000
                 945877020000
              378350808000000
            2837631060000000
            -------------------
            3216659098790569
```

Therefore, $47293851 \times 68027419 = 3216659098790569$.

The final answer is $\boxed{3216659098790569}$.
