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Finding the Third Proportional to 3,466,518 and 7,729,650.75

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Solution

The third proportional to 3,466,518 and 7,729,650.75 is: 17,235,595.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,466,518 : 7,729,650.75 = 7,729,650.75 : x
  2. Step 2: Convert to fraction form
    3,466,518/7,729,650.75 = 7,729,650.75/x
  3. Step 3: Cross multiply
    3,466,518x = 7,729,650.75 × 7,729,650.75
  4. Step 4: Simplify right side
    3,466,518x = 59,747,500,716,975.56
  5. Step 5: Solve for x
    x = 59,747,500,716,975.56/3,466,518
  6. Step 6: Final answer
    x = 17,235,595.12

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.