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Finding the Third Proportional to 70,418,016 and 151,248,366

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Solution

The third proportional to 70,418,016 and 151,248,366 is: 324,861,015.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,418,016 : 151,248,366 = 151,248,366 : x
  2. Step 2: Convert to fraction form
    70,418,016/151,248,366 = 151,248,366/x
  3. Step 3: Cross multiply
    70,418,016x = 151,248,366 × 151,248,366
  4. Step 4: Simplify right side
    70,418,016x = 22,876,068,217,669,956
  5. Step 5: Solve for x
    x = 22,876,068,217,669,956/70,418,016
  6. Step 6: Final answer
    x = 324,861,015.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.