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Finding the Third Proportional to 31,324,344,876 and 49,682,355,668

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Solution

The third proportional to 31,324,344,876 and 49,682,355,668 is: 78,799,300,495.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,324,344,876 : 49,682,355,668 = 49,682,355,668 : x
  2. Step 2: Convert to fraction form
    31,324,344,876/49,682,355,668 = 49,682,355,668/x
  3. Step 3: Cross multiply
    31,324,344,876x = 49,682,355,668 × 49,682,355,668
  4. Step 4: Simplify right side
    31,324,344,876x = 2,468,336,464,721,651,695,616
  5. Step 5: Solve for x
    x = 2,468,336,464,721,651,695,616/31,324,344,876
  6. Step 6: Final answer
    x = 78,799,300,495.92

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.