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Finding the Third Proportional to 12,377,682 and 18,589,905

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Solution

The third proportional to 12,377,682 and 18,589,905 is: 27,919,974.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,377,682 : 18,589,905 = 18,589,905 : x
  2. Step 2: Convert to fraction form
    12,377,682/18,589,905 = 18,589,905/x
  3. Step 3: Cross multiply
    12,377,682x = 18,589,905 × 18,589,905
  4. Step 4: Simplify right side
    12,377,682x = 345,584,567,909,025
  5. Step 5: Solve for x
    x = 345,584,567,909,025/12,377,682
  6. Step 6: Final answer
    x = 27,919,974.67

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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.