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Finding the Third Proportional to 34,744,512 and 76,340,976

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Solution

The third proportional to 34,744,512 and 76,340,976 is: 167,737,126.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,744,512 : 76,340,976 = 76,340,976 : x
  2. Step 2: Convert to fraction form
    34,744,512/76,340,976 = 76,340,976/x
  3. Step 3: Cross multiply
    34,744,512x = 76,340,976 × 76,340,976
  4. Step 4: Simplify right side
    34,744,512x = 5,827,944,616,632,576
  5. Step 5: Solve for x
    x = 5,827,944,616,632,576/34,744,512
  6. Step 6: Final answer
    x = 167,737,126.85

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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.