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Finding the Third Proportional to 31,052,167.50 and 67,382,295

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Solution

The third proportional to 31,052,167.50 and 67,382,295 is: 146,217,608.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,052,167.50 : 67,382,295 = 67,382,295 : x
  2. Step 2: Convert to fraction form
    31,052,167.50/67,382,295 = 67,382,295/x
  3. Step 3: Cross multiply
    31,052,167.50x = 67,382,295 × 67,382,295
  4. Step 4: Simplify right side
    31,052,167.50x = 4,540,373,679,467,025
  5. Step 5: Solve for x
    x = 4,540,373,679,467,025/31,052,167.50
  6. Step 6: Final answer
    x = 146,217,608.79

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.