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Finding the Third Proportional to 6,345,786.38 and 9,667,395.56

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Solution

The third proportional to 6,345,786.38 and 9,667,395.56 is: 14,727,652.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,345,786.38 : 9,667,395.56 = 9,667,395.56 : x
  2. Step 2: Convert to fraction form
    6,345,786.38/9,667,395.56 = 9,667,395.56/x
  3. Step 3: Cross multiply
    6,345,786.38x = 9,667,395.56 × 9,667,395.56
  4. Step 4: Simplify right side
    6,345,786.38x = 93,458,536,961,844.69
  5. Step 5: Solve for x
    x = 93,458,536,961,844.69/6,345,786.38
  6. Step 6: Final answer
    x = 14,727,652.56

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.