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Finding the Third Proportional to 3,200,208 and 6,998,192

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Solution

The third proportional to 3,200,208 and 6,998,192 is: 15,303,596.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,200,208 : 6,998,192 = 6,998,192 : x
  2. Step 2: Convert to fraction form
    3,200,208/6,998,192 = 6,998,192/x
  3. Step 3: Cross multiply
    3,200,208x = 6,998,192 × 6,998,192
  4. Step 4: Simplify right side
    3,200,208x = 48,974,691,268,864
  5. Step 5: Solve for x
    x = 48,974,691,268,864/3,200,208
  6. Step 6: Final answer
    x = 15,303,596.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.