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Finding the Third Proportional to 3,686,766 and 7,667,832

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Solution

The third proportional to 3,686,766 and 7,667,832 is: 15,947,756.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,686,766 : 7,667,832 = 7,667,832 : x
  2. Step 2: Convert to fraction form
    3,686,766/7,667,832 = 7,667,832/x
  3. Step 3: Cross multiply
    3,686,766x = 7,667,832 × 7,667,832
  4. Step 4: Simplify right side
    3,686,766x = 58,795,647,580,224
  5. Step 5: Solve for x
    x = 58,795,647,580,224/3,686,766
  6. Step 6: Final answer
    x = 15,947,756.81

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.