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Finding the Third Proportional to 6,244,899.75 and 9,367,349.25

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Solution

The third proportional to 6,244,899.75 and 9,367,349.25 is: 14,051,023.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,244,899.75 : 9,367,349.25 = 9,367,349.25 : x
  2. Step 2: Convert to fraction form
    6,244,899.75/9,367,349.25 = 9,367,349.25/x
  3. Step 3: Cross multiply
    6,244,899.75x = 9,367,349.25 × 9,367,349.25
  4. Step 4: Simplify right side
    6,244,899.75x = 87,747,231,971,475.56
  5. Step 5: Solve for x
    x = 87,747,231,971,475.56/6,244,899.75
  6. Step 6: Final answer
    x = 14,051,023.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.