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Finding the Third Proportional to 6,345,904 and 9,667,571

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Solution

The third proportional to 6,345,904 and 9,667,571 is: 14,727,914.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,345,904 : 9,667,571 = 9,667,571 : x
  2. Step 2: Convert to fraction form
    6,345,904/9,667,571 = 9,667,571/x
  3. Step 3: Cross multiply
    6,345,904x = 9,667,571 × 9,667,571
  4. Step 4: Simplify right side
    6,345,904x = 93,461,929,040,041
  5. Step 5: Solve for x
    x = 93,461,929,040,041/6,345,904
  6. Step 6: Final answer
    x = 14,727,914.11

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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.