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Finding the Third Proportional to 21,839,974,839 and 47,053,747,584

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Solution

The third proportional to 21,839,974,839 and 47,053,747,584 is: 101,376,268,884.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,839,974,839 : 47,053,747,584 = 47,053,747,584 : x
  2. Step 2: Convert to fraction form
    21,839,974,839/47,053,747,584 = 47,053,747,584/x
  3. Step 3: Cross multiply
    21,839,974,839x = 47,053,747,584 × 47,053,747,584
  4. Step 4: Simplify right side
    21,839,974,839x = 2,214,055,161,698,785,951,744
  5. Step 5: Solve for x
    x = 2,214,055,161,698,785,951,744/21,839,974,839
  6. Step 6: Final answer
    x = 101,376,268,884.02

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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.