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Finding the Third Proportional to 3,297,027 and 6,998,406

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Solution

The third proportional to 3,297,027 and 6,998,406 is: 14,855,106.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,297,027 : 6,998,406 = 6,998,406 : x
  2. Step 2: Convert to fraction form
    3,297,027/6,998,406 = 6,998,406/x
  3. Step 3: Cross multiply
    3,297,027x = 6,998,406 × 6,998,406
  4. Step 4: Simplify right side
    3,297,027x = 48,977,686,540,836
  5. Step 5: Solve for x
    x = 48,977,686,540,836/3,297,027
  6. Step 6: Final answer
    x = 14,855,106.29

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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.