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Finding the Third Proportional to 15,940,216.13 and 33,014,658.38

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Solution

The third proportional to 15,940,216.13 and 33,014,658.38 is: 68,378,474.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,940,216.13 : 33,014,658.38 = 33,014,658.38 : x
  2. Step 2: Convert to fraction form
    15,940,216.13/33,014,658.38 = 33,014,658.38/x
  3. Step 3: Cross multiply
    15,940,216.13x = 33,014,658.38 × 33,014,658.38
  4. Step 4: Simplify right side
    15,940,216.13x = 1,089,967,667,617,957.62
  5. Step 5: Solve for x
    x = 1,089,967,667,617,957.62/15,940,216.13
  6. Step 6: Final answer
    x = 68,378,474.86

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.