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Finding the Third Proportional to 22,138,847.73 and 48,171,447.94

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Solution

The third proportional to 22,138,847.73 and 48,171,447.94 is: 104,815,229.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,138,847.73 : 48,171,447.94 = 48,171,447.94 : x
  2. Step 2: Convert to fraction form
    22,138,847.73/48,171,447.94 = 48,171,447.94/x
  3. Step 3: Cross multiply
    22,138,847.73x = 48,171,447.94 × 48,171,447.94
  4. Step 4: Simplify right side
    22,138,847.73x = 2,320,488,396,237,270.50
  5. Step 5: Solve for x
    x = 2,320,488,396,237,270.50/22,138,847.73
  6. Step 6: Final answer
    x = 104,815,229.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.