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Finding the Third Proportional to 70,359,976 and 107,632,432

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Solution

The third proportional to 70,359,976 and 107,632,432 is: 164,649,578.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,359,976 : 107,632,432 = 107,632,432 : x
  2. Step 2: Convert to fraction form
    70,359,976/107,632,432 = 107,632,432/x
  3. Step 3: Cross multiply
    70,359,976x = 107,632,432 × 107,632,432
  4. Step 4: Simplify right side
    70,359,976x = 11,584,740,418,234,624
  5. Step 5: Solve for x
    x = 11,584,740,418,234,624/70,359,976
  6. Step 6: Final answer
    x = 164,649,578.88

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.