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Finding the Third Proportional to 64,747,134,126 and 97,120,694,601

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Solution

The third proportional to 64,747,134,126 and 97,120,694,601 is: 145,681,032,019.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,747,134,126 : 97,120,694,601 = 97,120,694,601 : x
  2. Step 2: Convert to fraction form
    64,747,134,126/97,120,694,601 = 97,120,694,601/x
  3. Step 3: Cross multiply
    64,747,134,126x = 97,120,694,601 × 97,120,694,601
  4. Step 4: Simplify right side
    64,747,134,126x = 9,432,429,319,780,710,744,064
  5. Step 5: Solve for x
    x = 9,432,429,319,780,710,744,064/64,747,134,126
  6. Step 6: Final answer
    x = 145,681,032,019.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.