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Finding the Third Proportional to 57,733,026.75 and 125,629,660.13

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Solution

The third proportional to 57,733,026.75 and 125,629,660.13 is: 273,375,784.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,733,026.75 : 125,629,660.13 = 125,629,660.13 : x
  2. Step 2: Convert to fraction form
    57,733,026.75/125,629,660.13 = 125,629,660.13/x
  3. Step 3: Cross multiply
    57,733,026.75x = 125,629,660.13 × 125,629,660.13
  4. Step 4: Simplify right side
    57,733,026.75x = 15,782,811,503,123,016
  5. Step 5: Solve for x
    x = 15,782,811,503,123,016/57,733,026.75
  6. Step 6: Final answer
    x = 273,375,784.91

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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.