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Finding the Third Proportional to 31,861,709 and 49,200,055

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Solution

The third proportional to 31,861,709 and 49,200,055 is: 75,973,495.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,861,709 : 49,200,055 = 49,200,055 : x
  2. Step 2: Convert to fraction form
    31,861,709/49,200,055 = 49,200,055/x
  3. Step 3: Cross multiply
    31,861,709x = 49,200,055 × 49,200,055
  4. Step 4: Simplify right side
    31,861,709x = 2,420,645,412,003,025
  5. Step 5: Solve for x
    x = 2,420,645,412,003,025/31,861,709
  6. Step 6: Final answer
    x = 75,973,495.71

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.