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Finding the Third Proportional to 57,640,826 and 125,516,016

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Solution

The third proportional to 57,640,826 and 125,516,016 is: 273,317,913.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,640,826 : 125,516,016 = 125,516,016 : x
  2. Step 2: Convert to fraction form
    57,640,826/125,516,016 = 125,516,016/x
  3. Step 3: Cross multiply
    57,640,826x = 125,516,016 × 125,516,016
  4. Step 4: Simplify right side
    57,640,826x = 15,754,270,272,512,256
  5. Step 5: Solve for x
    x = 15,754,270,272,512,256/57,640,826
  6. Step 6: Final answer
    x = 273,317,913.11

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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.