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Finding the Third Proportional to 3,000,159 and 6,469,422.75

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Solution

The third proportional to 3,000,159 and 6,469,422.75 is: 13,950,404.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,000,159 : 6,469,422.75 = 6,469,422.75 : x
  2. Step 2: Convert to fraction form
    3,000,159/6,469,422.75 = 6,469,422.75/x
  3. Step 3: Cross multiply
    3,000,159x = 6,469,422.75 × 6,469,422.75
  4. Step 4: Simplify right side
    3,000,159x = 41,853,430,718,217.56
  5. Step 5: Solve for x
    x = 41,853,430,718,217.56/3,000,159
  6. Step 6: Final answer
    x = 13,950,404.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.