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Finding the Third Proportional to 10,287,162 and 22,122,720

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Solution

The third proportional to 10,287,162 and 22,122,720 is: 47,575,292.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,287,162 : 22,122,720 = 22,122,720 : x
  2. Step 2: Convert to fraction form
    10,287,162/22,122,720 = 22,122,720/x
  3. Step 3: Cross multiply
    10,287,162x = 22,122,720 × 22,122,720
  4. Step 4: Simplify right side
    10,287,162x = 489,414,740,198,400
  5. Step 5: Solve for x
    x = 489,414,740,198,400/10,287,162
  6. Step 6: Final answer
    x = 47,575,292.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.