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Finding the Third Proportional to 31,965,530 and 69,046,150

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Solution

The third proportional to 31,965,530 and 69,046,150 is: 149,140,991.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,965,530 : 69,046,150 = 69,046,150 : x
  2. Step 2: Convert to fraction form
    31,965,530/69,046,150 = 69,046,150/x
  3. Step 3: Cross multiply
    31,965,530x = 69,046,150 × 69,046,150
  4. Step 4: Simplify right side
    31,965,530x = 4,767,370,829,822,500
  5. Step 5: Solve for x
    x = 4,767,370,829,822,500/31,965,530
  6. Step 6: Final answer
    x = 149,140,991.24

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.