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Finding the Third Proportional to 29,910,564 and 64,925,893

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Solution

The third proportional to 29,910,564 and 64,925,893 is: 140,932,534.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,910,564 : 64,925,893 = 64,925,893 : x
  2. Step 2: Convert to fraction form
    29,910,564/64,925,893 = 64,925,893/x
  3. Step 3: Cross multiply
    29,910,564x = 64,925,893 × 64,925,893
  4. Step 4: Simplify right side
    29,910,564x = 4,215,371,581,847,449
  5. Step 5: Solve for x
    x = 4,215,371,581,847,449/29,910,564
  6. Step 6: Final answer
    x = 140,932,534.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.