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Finding the Third Proportional to 10,230,018.20 and 22,162,766.47

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Solution

The third proportional to 10,230,018.20 and 22,162,766.47 is: 48,014,403.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,230,018.20 : 22,162,766.47 = 22,162,766.47 : x
  2. Step 2: Convert to fraction form
    10,230,018.20/22,162,766.47 = 22,162,766.47/x
  3. Step 3: Cross multiply
    10,230,018.20x = 22,162,766.47 × 22,162,766.47
  4. Step 4: Simplify right side
    10,230,018.20x = 491,188,217,656,636.62
  5. Step 5: Solve for x
    x = 491,188,217,656,636.62/10,230,018.20
  6. Step 6: Final answer
    x = 48,014,403.10

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