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Finding the Third Proportional to 31,142,834.44 and 68,150,664.56

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Solution

The third proportional to 31,142,834.44 and 68,150,664.56 is: 149,135,849.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,142,834.44 : 68,150,664.56 = 68,150,664.56 : x
  2. Step 2: Convert to fraction form
    31,142,834.44/68,150,664.56 = 68,150,664.56/x
  3. Step 3: Cross multiply
    31,142,834.44x = 68,150,664.56 × 68,150,664.56
  4. Step 4: Simplify right side
    31,142,834.44x = 4,644,513,080,310,393
  5. Step 5: Solve for x
    x = 4,644,513,080,310,393/31,142,834.44
  6. Step 6: Final answer
    x = 149,135,849.84

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.