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Finding the Third Proportional to 6,346,081.69 and 9,667,884.09

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Solution

The third proportional to 6,346,081.69 and 9,667,884.09 is: 14,728,455.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,346,081.69 : 9,667,884.09 = 9,667,884.09 : x
  2. Step 2: Convert to fraction form
    6,346,081.69/9,667,884.09 = 9,667,884.09/x
  3. Step 3: Cross multiply
    6,346,081.69x = 9,667,884.09 × 9,667,884.09
  4. Step 4: Simplify right side
    6,346,081.69x = 93,467,982,850,184.27
  5. Step 5: Solve for x
    x = 93,467,982,850,184.27/6,346,081.69
  6. Step 6: Final answer
    x = 14,728,455.68

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Why These Related Problems?

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