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Finding the Third Proportional to 59,821,110 and 129,851,744

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Solution

The third proportional to 59,821,110 and 129,851,744 is: 281,864,970.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,821,110 : 129,851,744 = 129,851,744 : x
  2. Step 2: Convert to fraction form
    59,821,110/129,851,744 = 129,851,744/x
  3. Step 3: Cross multiply
    59,821,110x = 129,851,744 × 129,851,744
  4. Step 4: Simplify right side
    59,821,110x = 16,861,475,419,841,536
  5. Step 5: Solve for x
    x = 16,861,475,419,841,536/59,821,110
  6. Step 6: Final answer
    x = 281,864,970.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.