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Finding the Third Proportional to 3,789,812,871 and 8,451,026,536

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Solution

The third proportional to 3,789,812,871 and 8,451,026,536 is: 18,845,217,941.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,789,812,871 : 8,451,026,536 = 8,451,026,536 : x
  2. Step 2: Convert to fraction form
    3,789,812,871/8,451,026,536 = 8,451,026,536/x
  3. Step 3: Cross multiply
    3,789,812,871x = 8,451,026,536 × 8,451,026,536
  4. Step 4: Simplify right side
    3,789,812,871x = 71,419,849,512,176,156,672
  5. Step 5: Solve for x
    x = 71,419,849,512,176,156,672/3,789,812,871
  6. Step 6: Final answer
    x = 18,845,217,941.68

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.