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Finding the Third Proportional to 3,297,513 and 6,949,266

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Solution

The third proportional to 3,297,513 and 6,949,266 is: 14,645,066.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,297,513 : 6,949,266 = 6,949,266 : x
  2. Step 2: Convert to fraction form
    3,297,513/6,949,266 = 6,949,266/x
  3. Step 3: Cross multiply
    3,297,513x = 6,949,266 × 6,949,266
  4. Step 4: Simplify right side
    3,297,513x = 48,292,297,938,756
  5. Step 5: Solve for x
    x = 48,292,297,938,756/3,297,513
  6. Step 6: Final answer
    x = 14,645,066.73

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.