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Finding the Third Proportional to 31,691,502.75 and 66,787,147.50

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Solution

The third proportional to 31,691,502.75 and 66,787,147.50 is: 140,748,234.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,691,502.75 : 66,787,147.50 = 66,787,147.50 : x
  2. Step 2: Convert to fraction form
    31,691,502.75/66,787,147.50 = 66,787,147.50/x
  3. Step 3: Cross multiply
    31,691,502.75x = 66,787,147.50 × 66,787,147.50
  4. Step 4: Simplify right side
    31,691,502.75x = 4,460,523,071,186,756
  5. Step 5: Solve for x
    x = 4,460,523,071,186,756/31,691,502.75
  6. Step 6: Final answer
    x = 140,748,234.83

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.