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Finding the Third Proportional to 12,841,760.25 and 29,969,676

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Solution

The third proportional to 12,841,760.25 and 29,969,676 is: 69,942,240.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,841,760.25 : 29,969,676 = 29,969,676 : x
  2. Step 2: Convert to fraction form
    12,841,760.25/29,969,676 = 29,969,676/x
  3. Step 3: Cross multiply
    12,841,760.25x = 29,969,676 × 29,969,676
  4. Step 4: Simplify right side
    12,841,760.25x = 898,181,479,544,976
  5. Step 5: Solve for x
    x = 898,181,479,544,976/12,841,760.25
  6. Step 6: Final answer
    x = 69,942,240.16

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.