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Finding the Third Proportional to 3,874,198 and 8,445,948

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Solution

The third proportional to 3,874,198 and 8,445,948 is: 18,412,594.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874,198 : 8,445,948 = 8,445,948 : x
  2. Step 2: Convert to fraction form
    3,874,198/8,445,948 = 8,445,948/x
  3. Step 3: Cross multiply
    3,874,198x = 8,445,948 × 8,445,948
  4. Step 4: Simplify right side
    3,874,198x = 71,334,037,618,704
  5. Step 5: Solve for x
    x = 71,334,037,618,704/3,874,198
  6. Step 6: Final answer
    x = 18,412,594.71

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.