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Finding the Third Proportional to 11,647,407 and 18,016,225

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Solution

The third proportional to 11,647,407 and 18,016,225 is: 27,867,521.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,647,407 : 18,016,225 = 18,016,225 : x
  2. Step 2: Convert to fraction form
    11,647,407/18,016,225 = 18,016,225/x
  3. Step 3: Cross multiply
    11,647,407x = 18,016,225 × 18,016,225
  4. Step 4: Simplify right side
    11,647,407x = 324,584,363,250,625
  5. Step 5: Solve for x
    x = 324,584,363,250,625/11,647,407
  6. Step 6: Final answer
    x = 27,867,521.35

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Why These Related Problems?

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