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Finding the Third Proportional to 6,345,936 and 9,667,620

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Solution

The third proportional to 6,345,936 and 9,667,620 is: 14,727,989.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,345,936 : 9,667,620 = 9,667,620 : x
  2. Step 2: Convert to fraction form
    6,345,936/9,667,620 = 9,667,620/x
  3. Step 3: Cross multiply
    6,345,936x = 9,667,620 × 9,667,620
  4. Step 4: Simplify right side
    6,345,936x = 93,462,876,464,400
  5. Step 5: Solve for x
    x = 93,462,876,464,400/6,345,936
  6. Step 6: Final answer
    x = 14,727,989.14

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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.