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Finding the Third Proportional to 3,427,537.78 and 7,469,865.56

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Solution

The third proportional to 3,427,537.78 and 7,469,865.56 is: 16,279,584.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,427,537.78 : 7,469,865.56 = 7,469,865.56 : x
  2. Step 2: Convert to fraction form
    3,427,537.78/7,469,865.56 = 7,469,865.56/x
  3. Step 3: Cross multiply
    3,427,537.78x = 7,469,865.56 × 7,469,865.56
  4. Step 4: Simplify right side
    3,427,537.78x = 55,798,891,521,823.44
  5. Step 5: Solve for x
    x = 55,798,891,521,823.44/3,427,537.78
  6. Step 6: Final answer
    x = 16,279,584.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.