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Finding the Third Proportional to 13,338,323.25 and 30,876,295.88

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Solution

The third proportional to 13,338,323.25 and 30,876,295.88 is: 71,474,174.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,338,323.25 : 30,876,295.88 = 30,876,295.88 : x
  2. Step 2: Convert to fraction form
    13,338,323.25/30,876,295.88 = 30,876,295.88/x
  3. Step 3: Cross multiply
    13,338,323.25x = 30,876,295.88 × 30,876,295.88
  4. Step 4: Simplify right side
    13,338,323.25x = 953,345,646,960,542
  5. Step 5: Solve for x
    x = 953,345,646,960,542/13,338,323.25
  6. Step 6: Final answer
    x = 71,474,174.76

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.