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Finding the Third Proportional to 9,687,683 and 15,609,351

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Solution

The third proportional to 9,687,683 and 15,609,351 is: 25,150,682.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,687,683 : 15,609,351 = 15,609,351 : x
  2. Step 2: Convert to fraction form
    9,687,683/15,609,351 = 15,609,351/x
  3. Step 3: Cross multiply
    9,687,683x = 15,609,351 × 15,609,351
  4. Step 4: Simplify right side
    9,687,683x = 243,651,838,641,201
  5. Step 5: Solve for x
    x = 243,651,838,641,201/9,687,683
  6. Step 6: Final answer
    x = 25,150,682.43

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.