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Finding the Third Proportional to 57,950,016 and 122,808,720

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Solution

The third proportional to 57,950,016 and 122,808,720 is: 260,258,456.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,950,016 : 122,808,720 = 122,808,720 : x
  2. Step 2: Convert to fraction form
    57,950,016/122,808,720 = 122,808,720/x
  3. Step 3: Cross multiply
    57,950,016x = 122,808,720 × 122,808,720
  4. Step 4: Simplify right side
    57,950,016x = 15,081,981,708,038,400
  5. Step 5: Solve for x
    x = 15,081,981,708,038,400/57,950,016
  6. Step 6: Final answer
    x = 260,258,456.32

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.