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Finding the Third Proportional to 29,948,457 and 64,436,478

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Solution

The third proportional to 29,948,457 and 64,436,478 is: 138,640,187.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,948,457 : 64,436,478 = 64,436,478 : x
  2. Step 2: Convert to fraction form
    29,948,457/64,436,478 = 64,436,478/x
  3. Step 3: Cross multiply
    29,948,457x = 64,436,478 × 64,436,478
  4. Step 4: Simplify right side
    29,948,457x = 4,152,059,697,044,484
  5. Step 5: Solve for x
    x = 4,152,059,697,044,484/29,948,457
  6. Step 6: Final answer
    x = 138,640,187.61

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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.