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Finding the Third Proportional to 17,881,917 and 38,622,171

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Solution

The third proportional to 17,881,917 and 38,622,171 is: 83,417,907.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,881,917 : 38,622,171 = 38,622,171 : x
  2. Step 2: Convert to fraction form
    17,881,917/38,622,171 = 38,622,171/x
  3. Step 3: Cross multiply
    17,881,917x = 38,622,171 × 38,622,171
  4. Step 4: Simplify right side
    17,881,917x = 1,491,672,092,753,241
  5. Step 5: Solve for x
    x = 1,491,672,092,753,241/17,881,917
  6. Step 6: Final answer
    x = 83,417,907.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.