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Finding the Third Proportional to 31,577,042 and 68,026,612

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Solution

The third proportional to 31,577,042 and 68,026,612 is: 146,550,140.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,577,042 : 68,026,612 = 68,026,612 : x
  2. Step 2: Convert to fraction form
    31,577,042/68,026,612 = 68,026,612/x
  3. Step 3: Cross multiply
    31,577,042x = 68,026,612 × 68,026,612
  4. Step 4: Simplify right side
    31,577,042x = 4,627,619,940,198,544
  5. Step 5: Solve for x
    x = 4,627,619,940,198,544/31,577,042
  6. Step 6: Final answer
    x = 146,550,140.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.