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Finding the Third Proportional to 42,377,624 and 91,473,712

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Solution

The third proportional to 42,377,624 and 91,473,712 is: 197,449,483.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,377,624 : 91,473,712 = 91,473,712 : x
  2. Step 2: Convert to fraction form
    42,377,624/91,473,712 = 91,473,712/x
  3. Step 3: Cross multiply
    42,377,624x = 91,473,712 × 91,473,712
  4. Step 4: Simplify right side
    42,377,624x = 8,367,439,987,058,944
  5. Step 5: Solve for x
    x = 8,367,439,987,058,944/42,377,624
  6. Step 6: Final answer
    x = 197,449,483.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.