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Finding the Third Proportional to 23,150,923 and 34,057,216.50

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Solution

The third proportional to 23,150,923 and 34,057,216.50 is: 50,101,414.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,150,923 : 34,057,216.50 = 34,057,216.50 : x
  2. Step 2: Convert to fraction form
    23,150,923/34,057,216.50 = 34,057,216.50/x
  3. Step 3: Cross multiply
    23,150,923x = 34,057,216.50 × 34,057,216.50
  4. Step 4: Simplify right side
    23,150,923x = 1,159,893,995,727,872.25
  5. Step 5: Solve for x
    x = 1,159,893,995,727,872.25/23,150,923
  6. Step 6: Final answer
    x = 50,101,414.78

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.