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Finding the Third Proportional to 5,171,211.75 and 8,332,200

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Solution

The third proportional to 5,171,211.75 and 8,332,200 is: 13,425,394.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,171,211.75 : 8,332,200 = 8,332,200 : x
  2. Step 2: Convert to fraction form
    5,171,211.75/8,332,200 = 8,332,200/x
  3. Step 3: Cross multiply
    5,171,211.75x = 8,332,200 × 8,332,200
  4. Step 4: Simplify right side
    5,171,211.75x = 69,425,556,840,000
  5. Step 5: Solve for x
    x = 69,425,556,840,000/5,171,211.75
  6. Step 6: Final answer
    x = 13,425,394.32

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.