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Finding the Third Proportional to 3,297,514 and 6,949,268

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Solution

The third proportional to 3,297,514 and 6,949,268 is: 14,645,070.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,297,514 : 6,949,268 = 6,949,268 : x
  2. Step 2: Convert to fraction form
    3,297,514/6,949,268 = 6,949,268/x
  3. Step 3: Cross multiply
    3,297,514x = 6,949,268 × 6,949,268
  4. Step 4: Simplify right side
    3,297,514x = 48,292,325,735,824
  5. Step 5: Solve for x
    x = 48,292,325,735,824/3,297,514
  6. Step 6: Final answer
    x = 14,645,070.72

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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.