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Finding the Third Proportional to 5,169,969 and 7,244,775

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Solution

The third proportional to 5,169,969 and 7,244,775 is: 10,152,239.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,169,969 : 7,244,775 = 7,244,775 : x
  2. Step 2: Convert to fraction form
    5,169,969/7,244,775 = 7,244,775/x
  3. Step 3: Cross multiply
    5,169,969x = 7,244,775 × 7,244,775
  4. Step 4: Simplify right side
    5,169,969x = 52,486,764,800,625
  5. Step 5: Solve for x
    x = 52,486,764,800,625/5,169,969
  6. Step 6: Final answer
    x = 10,152,239.75

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.