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Finding the Third Proportional to 3,209,076.75 and 7,135,659.75

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Solution

The third proportional to 3,209,076.75 and 7,135,659.75 is: 15,866,756.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,209,076.75 : 7,135,659.75 = 7,135,659.75 : x
  2. Step 2: Convert to fraction form
    3,209,076.75/7,135,659.75 = 7,135,659.75/x
  3. Step 3: Cross multiply
    3,209,076.75x = 7,135,659.75 × 7,135,659.75
  4. Step 4: Simplify right side
    3,209,076.75x = 50,917,640,067,770.06
  5. Step 5: Solve for x
    x = 50,917,640,067,770.06/3,209,076.75
  6. Step 6: Final answer
    x = 15,866,756.71

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.