Finding the Third Proportional to 4,607,545,869,282 and 10,026,205,418,666
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Solution
The third proportional to 4,607,545,869,282 and 10,026,205,418,666 is: 21,817,426,879,561.89
Step by Step Solution
- Step 1: Write the proportion equation
4,607,545,869,282 : 10,026,205,418,666 = 10,026,205,418,666 : x - Step 2: Convert to fraction form
4,607,545,869,282/10,026,205,418,666 = 10,026,205,418,666/x - Step 3: Cross multiply
4,607,545,869,282x = 10,026,205,418,666 × 10,026,205,418,666 - Step 4: Simplify right side
4,607,545,869,282x = 100,524,795,097,287,454,271,471,616 - Step 5: Solve for x
x = 100,524,795,097,287,454,271,471,616/4,607,545,869,282 - Step 6: Final answer
x = 21,817,426,879,561.89
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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.