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Finding the Third Proportional to 5,177,958.25 and 7,766,937.75

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Solution

The third proportional to 5,177,958.25 and 7,766,937.75 is: 11,650,407.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,177,958.25 : 7,766,937.75 = 7,766,937.75 : x
  2. Step 2: Convert to fraction form
    5,177,958.25/7,766,937.75 = 7,766,937.75/x
  3. Step 3: Cross multiply
    5,177,958.25x = 7,766,937.75 × 7,766,937.75
  4. Step 4: Simplify right side
    5,177,958.25x = 60,325,322,012,375.06
  5. Step 5: Solve for x
    x = 60,325,322,012,375.06/5,177,958.25
  6. Step 6: Final answer
    x = 11,650,407.19

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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.