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Finding the Third Proportional to 11,419,154 and 17,702,427

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Solution

The third proportional to 11,419,154 and 17,702,427 is: 27,443,006.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,419,154 : 17,702,427 = 17,702,427 : x
  2. Step 2: Convert to fraction form
    11,419,154/17,702,427 = 17,702,427/x
  3. Step 3: Cross multiply
    11,419,154x = 17,702,427 × 17,702,427
  4. Step 4: Simplify right side
    11,419,154x = 313,375,921,690,329
  5. Step 5: Solve for x
    x = 313,375,921,690,329/11,419,154
  6. Step 6: Final answer
    x = 27,443,006.87

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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.