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Finding the Third Proportional to 5,707,674 and 8,356,734

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Solution

The third proportional to 5,707,674 and 8,356,734 is: 12,235,282.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,707,674 : 8,356,734 = 8,356,734 : x
  2. Step 2: Convert to fraction form
    5,707,674/8,356,734 = 8,356,734/x
  3. Step 3: Cross multiply
    5,707,674x = 8,356,734 × 8,356,734
  4. Step 4: Simplify right side
    5,707,674x = 69,835,003,146,756
  5. Step 5: Solve for x
    x = 69,835,003,146,756/5,707,674
  6. Step 6: Final answer
    x = 12,235,282.38

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.