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Finding the Third Proportional to 3,203,552 and 6,814,048

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Solution

The third proportional to 3,203,552 and 6,814,048 is: 14,493,677.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,203,552 : 6,814,048 = 6,814,048 : x
  2. Step 2: Convert to fraction form
    3,203,552/6,814,048 = 6,814,048/x
  3. Step 3: Cross multiply
    3,203,552x = 6,814,048 × 6,814,048
  4. Step 4: Simplify right side
    3,203,552x = 46,431,250,146,304
  5. Step 5: Solve for x
    x = 46,431,250,146,304/3,203,552
  6. Step 6: Final answer
    x = 14,493,677.69

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.