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Finding the Third Proportional to 6,346,084 and 9,667,887

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Solution

The third proportional to 6,346,084 and 9,667,887 is: 14,728,459.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,346,084 : 9,667,887 = 9,667,887 : x
  2. Step 2: Convert to fraction form
    6,346,084/9,667,887 = 9,667,887/x
  3. Step 3: Cross multiply
    6,346,084x = 9,667,887 × 9,667,887
  4. Step 4: Simplify right side
    6,346,084x = 93,468,039,044,769
  5. Step 5: Solve for x
    x = 93,468,039,044,769/6,346,084
  6. Step 6: Final answer
    x = 14,728,459.16

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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.