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Finding the Third Proportional to 4,008,249 and 8,410,374

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Solution

The third proportional to 4,008,249 and 8,410,374 is: 17,647,204.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,008,249 : 8,410,374 = 8,410,374 : x
  2. Step 2: Convert to fraction form
    4,008,249/8,410,374 = 8,410,374/x
  3. Step 3: Cross multiply
    4,008,249x = 8,410,374 × 8,410,374
  4. Step 4: Simplify right side
    4,008,249x = 70,734,390,819,876
  5. Step 5: Solve for x
    x = 70,734,390,819,876/4,008,249
  6. Step 6: Final answer
    x = 17,647,204.76

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.