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Finding the Third Proportional to 4,462,494 and 9,667,778.25

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Solution

The third proportional to 4,462,494 and 9,667,778.25 is: 20,944,775.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,462,494 : 9,667,778.25 = 9,667,778.25 : x
  2. Step 2: Convert to fraction form
    4,462,494/9,667,778.25 = 9,667,778.25/x
  3. Step 3: Cross multiply
    4,462,494x = 9,667,778.25 × 9,667,778.25
  4. Step 4: Simplify right side
    4,462,494x = 93,465,936,291,173.06
  5. Step 5: Solve for x
    x = 93,465,936,291,173.06/4,462,494
  6. Step 6: Final answer
    x = 20,944,775.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.