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Finding the Third Proportional to 15,649,530 and 33,452,753.25

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Solution

The third proportional to 15,649,530 and 33,452,753.25 is: 71,509,284.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,649,530 : 33,452,753.25 = 33,452,753.25 : x
  2. Step 2: Convert to fraction form
    15,649,530/33,452,753.25 = 33,452,753.25/x
  3. Step 3: Cross multiply
    15,649,530x = 33,452,753.25 × 33,452,753.25
  4. Step 4: Simplify right side
    15,649,530x = 1,119,086,700,005,385.50
  5. Step 5: Solve for x
    x = 1,119,086,700,005,385.50/15,649,530
  6. Step 6: Final answer
    x = 71,509,284.94

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.