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Finding the Third Proportional to 9,687,932 and 22,837,160

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Solution

The third proportional to 9,687,932 and 22,837,160 is: 53,833,560.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,687,932 : 22,837,160 = 22,837,160 : x
  2. Step 2: Convert to fraction form
    9,687,932/22,837,160 = 22,837,160/x
  3. Step 3: Cross multiply
    9,687,932x = 22,837,160 × 22,837,160
  4. Step 4: Simplify right side
    9,687,932x = 521,535,876,865,600
  5. Step 5: Solve for x
    x = 521,535,876,865,600/9,687,932
  6. Step 6: Final answer
    x = 53,833,560.85

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.