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Finding the Third Proportional to 6,345,900 and 9,667,566

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Solution

The third proportional to 6,345,900 and 9,667,566 is: 14,727,908.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,345,900 : 9,667,566 = 9,667,566 : x
  2. Step 2: Convert to fraction form
    6,345,900/9,667,566 = 9,667,566/x
  3. Step 3: Cross multiply
    6,345,900x = 9,667,566 × 9,667,566
  4. Step 4: Simplify right side
    6,345,900x = 93,461,832,364,356
  5. Step 5: Solve for x
    x = 93,461,832,364,356/6,345,900
  6. Step 6: Final answer
    x = 14,727,908.16

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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.