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Finding the Third Proportional to 45,917,726 and 99,906,451

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Solution

The third proportional to 45,917,726 and 99,906,451 is: 217,373,546.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,917,726 : 99,906,451 = 99,906,451 : x
  2. Step 2: Convert to fraction form
    45,917,726/99,906,451 = 99,906,451/x
  3. Step 3: Cross multiply
    45,917,726x = 99,906,451 × 99,906,451
  4. Step 4: Simplify right side
    45,917,726x = 9,981,298,951,415,400
  5. Step 5: Solve for x
    x = 9,981,298,951,415,400/45,917,726
  6. Step 6: Final answer
    x = 217,373,546.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.