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Finding the Third Proportional to 10,729,188 and 22,992,432

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Solution

The third proportional to 10,729,188 and 22,992,432 is: 49,272,314.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,729,188 : 22,992,432 = 22,992,432 : x
  2. Step 2: Convert to fraction form
    10,729,188/22,992,432 = 22,992,432/x
  3. Step 3: Cross multiply
    10,729,188x = 22,992,432 × 22,992,432
  4. Step 4: Simplify right side
    10,729,188x = 528,651,929,274,624
  5. Step 5: Solve for x
    x = 528,651,929,274,624/10,729,188
  6. Step 6: Final answer
    x = 49,272,314.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.