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Finding the Third Proportional to 16,411,593 and 35,712,942

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Solution

The third proportional to 16,411,593 and 35,712,942 is: 77,714,224.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,411,593 : 35,712,942 = 35,712,942 : x
  2. Step 2: Convert to fraction form
    16,411,593/35,712,942 = 35,712,942/x
  3. Step 3: Cross multiply
    16,411,593x = 35,712,942 × 35,712,942
  4. Step 4: Simplify right side
    16,411,593x = 1,275,414,226,295,364
  5. Step 5: Solve for x
    x = 1,275,414,226,295,364/16,411,593
  6. Step 6: Final answer
    x = 77,714,224.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.