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Finding the Third Proportional to 6,345,746 and 9,532,687

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Solution

The third proportional to 6,345,746 and 9,532,687 is: 14,320,163.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,345,746 : 9,532,687 = 9,532,687 : x
  2. Step 2: Convert to fraction form
    6,345,746/9,532,687 = 9,532,687/x
  3. Step 3: Cross multiply
    6,345,746x = 9,532,687 × 9,532,687
  4. Step 4: Simplify right side
    6,345,746x = 90,872,121,439,969
  5. Step 5: Solve for x
    x = 90,872,121,439,969/6,345,746
  6. Step 6: Final answer
    x = 14,320,163.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.