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Finding the Third Proportional to 3,150,684 and 6,416,934.75

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Solution

The third proportional to 3,150,684 and 6,416,934.75 is: 13,069,241.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,150,684 : 6,416,934.75 = 6,416,934.75 : x
  2. Step 2: Convert to fraction form
    3,150,684/6,416,934.75 = 6,416,934.75/x
  3. Step 3: Cross multiply
    3,150,684x = 6,416,934.75 × 6,416,934.75
  4. Step 4: Simplify right side
    3,150,684x = 41,177,051,585,757.56
  5. Step 5: Solve for x
    x = 41,177,051,585,757.56/3,150,684
  6. Step 6: Final answer
    x = 13,069,241.98

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.