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Finding the Third Proportional to 41,884,992,489 and 66,679,520,827.50

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Solution

The third proportional to 41,884,992,489 and 66,679,520,827.50 is: 106,151,588,757.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,884,992,489 : 66,679,520,827.50 = 66,679,520,827.50 : x
  2. Step 2: Convert to fraction form
    41,884,992,489/66,679,520,827.50 = 66,679,520,827.50/x
  3. Step 3: Cross multiply
    41,884,992,489x = 66,679,520,827.50 × 66,679,520,827.50
  4. Step 4: Simplify right side
    41,884,992,489x = 4,446,158,497,785,006,522,368
  5. Step 5: Solve for x
    x = 4,446,158,497,785,006,522,368/41,884,992,489
  6. Step 6: Final answer
    x = 106,151,588,757.06

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.