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Finding the Third Proportional to 6,329,350 and 9,806,767

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Solution

The third proportional to 6,329,350 and 9,806,767 is: 15,194,716.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,329,350 : 9,806,767 = 9,806,767 : x
  2. Step 2: Convert to fraction form
    6,329,350/9,806,767 = 9,806,767/x
  3. Step 3: Cross multiply
    6,329,350x = 9,806,767 × 9,806,767
  4. Step 4: Simplify right side
    6,329,350x = 96,172,678,992,289
  5. Step 5: Solve for x
    x = 96,172,678,992,289/6,329,350
  6. Step 6: Final answer
    x = 15,194,716.52

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.