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Finding the Third Proportional to 71,717,532,518 and 107,181,024,757

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Solution

The third proportional to 71,717,532,518 and 107,181,024,757 is: 160,180,804,673.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,717,532,518 : 107,181,024,757 = 107,181,024,757 : x
  2. Step 2: Convert to fraction form
    71,717,532,518/107,181,024,757 = 107,181,024,757/x
  3. Step 3: Cross multiply
    71,717,532,518x = 107,181,024,757 × 107,181,024,757
  4. Step 4: Simplify right side
    71,717,532,518x = 11,487,772,067,960,646,008,832
  5. Step 5: Solve for x
    x = 11,487,772,067,960,646,008,832/71,717,532,518
  6. Step 6: Final answer
    x = 160,180,804,673.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.