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Finding the Third Proportional to 12,297,233 and 18,378,074

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Solution

The third proportional to 12,297,233 and 18,378,074 is: 27,465,821.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,297,233 : 18,378,074 = 18,378,074 : x
  2. Step 2: Convert to fraction form
    12,297,233/18,378,074 = 18,378,074/x
  3. Step 3: Cross multiply
    12,297,233x = 18,378,074 × 18,378,074
  4. Step 4: Simplify right side
    12,297,233x = 337,753,603,949,476
  5. Step 5: Solve for x
    x = 337,753,603,949,476/12,297,233
  6. Step 6: Final answer
    x = 27,465,821.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.