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Finding the Third Proportional to 52,431,001 and 81,406,981

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Solution

The third proportional to 52,431,001 and 81,406,981 is: 126,396,529.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,431,001 : 81,406,981 = 81,406,981 : x
  2. Step 2: Convert to fraction form
    52,431,001/81,406,981 = 81,406,981/x
  3. Step 3: Cross multiply
    52,431,001x = 81,406,981 × 81,406,981
  4. Step 4: Simplify right side
    52,431,001x = 6,627,096,555,534,361
  5. Step 5: Solve for x
    x = 6,627,096,555,534,361/52,431,001
  6. Step 6: Final answer
    x = 126,396,529.33

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.