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Finding the Third Proportional to 57,568,084 and 124,702,120

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Solution

The third proportional to 57,568,084 and 124,702,120 is: 270,125,695.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,568,084 : 124,702,120 = 124,702,120 : x
  2. Step 2: Convert to fraction form
    57,568,084/124,702,120 = 124,702,120/x
  3. Step 3: Cross multiply
    57,568,084x = 124,702,120 × 124,702,120
  4. Step 4: Simplify right side
    57,568,084x = 15,550,618,732,494,400
  5. Step 5: Solve for x
    x = 15,550,618,732,494,400/57,568,084
  6. Step 6: Final answer
    x = 270,125,695.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.