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Finding the Third Proportional to 5,385,932 and 11,687,419

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Solution

The third proportional to 5,385,932 and 11,687,419 is: 25,361,583.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,385,932 : 11,687,419 = 11,687,419 : x
  2. Step 2: Convert to fraction form
    5,385,932/11,687,419 = 11,687,419/x
  3. Step 3: Cross multiply
    5,385,932x = 11,687,419 × 11,687,419
  4. Step 4: Simplify right side
    5,385,932x = 136,595,762,881,561
  5. Step 5: Solve for x
    x = 136,595,762,881,561/5,385,932
  6. Step 6: Final answer
    x = 25,361,583.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.