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Finding the Third Proportional to 10,228,043.25 and 22,050,165

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Solution

The third proportional to 10,228,043.25 and 22,050,165 is: 47,536,930.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,228,043.25 : 22,050,165 = 22,050,165 : x
  2. Step 2: Convert to fraction form
    10,228,043.25/22,050,165 = 22,050,165/x
  3. Step 3: Cross multiply
    10,228,043.25x = 22,050,165 × 22,050,165
  4. Step 4: Simplify right side
    10,228,043.25x = 486,209,776,527,225
  5. Step 5: Solve for x
    x = 486,209,776,527,225/10,228,043.25
  6. Step 6: Final answer
    x = 47,536,930.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.