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Finding the Third Proportional to 3,682,009.50 and 7,619,667

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Solution

The third proportional to 3,682,009.50 and 7,619,667 is: 15,768,380.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,682,009.50 : 7,619,667 = 7,619,667 : x
  2. Step 2: Convert to fraction form
    3,682,009.50/7,619,667 = 7,619,667/x
  3. Step 3: Cross multiply
    3,682,009.50x = 7,619,667 × 7,619,667
  4. Step 4: Simplify right side
    3,682,009.50x = 58,059,325,190,889
  5. Step 5: Solve for x
    x = 58,059,325,190,889/3,682,009.50
  6. Step 6: Final answer
    x = 15,768,380.06

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.