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Finding the Third Proportional to 5,598,434 and 8,396,193

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Solution

The third proportional to 5,598,434 and 8,396,193 is: 12,592,102.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,598,434 : 8,396,193 = 8,396,193 : x
  2. Step 2: Convert to fraction form
    5,598,434/8,396,193 = 8,396,193/x
  3. Step 3: Cross multiply
    5,598,434x = 8,396,193 × 8,396,193
  4. Step 4: Simplify right side
    5,598,434x = 70,496,056,893,249
  5. Step 5: Solve for x
    x = 70,496,056,893,249/5,598,434
  6. Step 6: Final answer
    x = 12,592,102.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.