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Finding the Third Proportional to 23,150,218.50 and 49,375,035

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Solution

The third proportional to 23,150,218.50 and 49,375,035 is: 105,307,605.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,150,218.50 : 49,375,035 = 49,375,035 : x
  2. Step 2: Convert to fraction form
    23,150,218.50/49,375,035 = 49,375,035/x
  3. Step 3: Cross multiply
    23,150,218.50x = 49,375,035 × 49,375,035
  4. Step 4: Simplify right side
    23,150,218.50x = 2,437,894,081,251,225
  5. Step 5: Solve for x
    x = 2,437,894,081,251,225/23,150,218.50
  6. Step 6: Final answer
    x = 105,307,605.68

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.