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Finding the Third Proportional to 6,309,204 and 13,681,344

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Solution

The third proportional to 6,309,204 and 13,681,344 is: 29,667,636.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,309,204 : 13,681,344 = 13,681,344 : x
  2. Step 2: Convert to fraction form
    6,309,204/13,681,344 = 13,681,344/x
  3. Step 3: Cross multiply
    6,309,204x = 13,681,344 × 13,681,344
  4. Step 4: Simplify right side
    6,309,204x = 187,179,173,646,336
  5. Step 5: Solve for x
    x = 187,179,173,646,336/6,309,204
  6. Step 6: Final answer
    x = 29,667,636.94

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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.