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Finding the Third Proportional to 11,647,564 and 18,016,435

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Solution

The third proportional to 11,647,564 and 18,016,435 is: 27,867,795.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,647,564 : 18,016,435 = 18,016,435 : x
  2. Step 2: Convert to fraction form
    11,647,564/18,016,435 = 18,016,435/x
  3. Step 3: Cross multiply
    11,647,564x = 18,016,435 × 18,016,435
  4. Step 4: Simplify right side
    11,647,564x = 324,591,930,109,225
  5. Step 5: Solve for x
    x = 324,591,930,109,225/11,647,564
  6. Step 6: Final answer
    x = 27,867,795.37

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.