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Finding the Third Proportional to 57,767,108 and 126,872,200

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Solution

The third proportional to 57,767,108 and 126,872,200 is: 278,645,680.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,767,108 : 126,872,200 = 126,872,200 : x
  2. Step 2: Convert to fraction form
    57,767,108/126,872,200 = 126,872,200/x
  3. Step 3: Cross multiply
    57,767,108x = 126,872,200 × 126,872,200
  4. Step 4: Simplify right side
    57,767,108x = 16,096,555,132,840,000
  5. Step 5: Solve for x
    x = 16,096,555,132,840,000/57,767,108
  6. Step 6: Final answer
    x = 278,645,680.74

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.