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Finding the Third Proportional to 39,563,016 and 83,376,912

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Solution

The third proportional to 39,563,016 and 83,376,912 is: 175,712,323.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,563,016 : 83,376,912 = 83,376,912 : x
  2. Step 2: Convert to fraction form
    39,563,016/83,376,912 = 83,376,912/x
  3. Step 3: Cross multiply
    39,563,016x = 83,376,912 × 83,376,912
  4. Step 4: Simplify right side
    39,563,016x = 6,951,709,454,655,744
  5. Step 5: Solve for x
    x = 6,951,709,454,655,744/39,563,016
  6. Step 6: Final answer
    x = 175,712,323.21

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.