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Finding the Third Proportional to 5,797,676 and 12,296,920

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Solution

The third proportional to 5,797,676 and 12,296,920 is: 26,081,871.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,797,676 : 12,296,920 = 12,296,920 : x
  2. Step 2: Convert to fraction form
    5,797,676/12,296,920 = 12,296,920/x
  3. Step 3: Cross multiply
    5,797,676x = 12,296,920 × 12,296,920
  4. Step 4: Simplify right side
    5,797,676x = 151,214,241,486,400
  5. Step 5: Solve for x
    x = 151,214,241,486,400/5,797,676
  6. Step 6: Final answer
    x = 26,081,871.68

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.