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Finding the Third Proportional to 21,839,974,843 and 47,053,747,592

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Solution

The third proportional to 21,839,974,843 and 47,053,747,592 is: 101,376,268,899.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,839,974,843 : 47,053,747,592 = 47,053,747,592 : x
  2. Step 2: Convert to fraction form
    21,839,974,843/47,053,747,592 = 47,053,747,592/x
  3. Step 3: Cross multiply
    21,839,974,843x = 47,053,747,592 × 47,053,747,592
  4. Step 4: Simplify right side
    21,839,974,843x = 2,214,055,162,451,645,693,952
  5. Step 5: Solve for x
    x = 2,214,055,162,451,645,693,952/21,839,974,843
  6. Step 6: Final answer
    x = 101,376,268,899.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.