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Finding the Third Proportional to 6,343,933 and 9,517,845

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Solution

The third proportional to 6,343,933 and 9,517,845 is: 14,279,686.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,343,933 : 9,517,845 = 9,517,845 : x
  2. Step 2: Convert to fraction form
    6,343,933/9,517,845 = 9,517,845/x
  3. Step 3: Cross multiply
    6,343,933x = 9,517,845 × 9,517,845
  4. Step 4: Simplify right side
    6,343,933x = 90,589,373,444,025
  5. Step 5: Solve for x
    x = 90,589,373,444,025/6,343,933
  6. Step 6: Final answer
    x = 14,279,686.35

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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.