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Finding the Third Proportional to 31,541,142,171 and 67,866,080,976

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Solution

The third proportional to 31,541,142,171 and 67,866,080,976 is: 146,025,306,314.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,541,142,171 : 67,866,080,976 = 67,866,080,976 : x
  2. Step 2: Convert to fraction form
    31,541,142,171/67,866,080,976 = 67,866,080,976/x
  3. Step 3: Cross multiply
    31,541,142,171x = 67,866,080,976 × 67,866,080,976
  4. Step 4: Simplify right side
    31,541,142,171x = 4,605,804,947,040,989,347,840
  5. Step 5: Solve for x
    x = 4,605,804,947,040,989,347,840/31,541,142,171
  6. Step 6: Final answer
    x = 146,025,306,314.87

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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.