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Finding the Third Proportional to 12,843,711 and 17,612,193

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Solution

The third proportional to 12,843,711 and 17,612,193 is: 24,151,068.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,843,711 : 17,612,193 = 17,612,193 : x
  2. Step 2: Convert to fraction form
    12,843,711/17,612,193 = 17,612,193/x
  3. Step 3: Cross multiply
    12,843,711x = 17,612,193 × 17,612,193
  4. Step 4: Simplify right side
    12,843,711x = 310,189,342,269,249
  5. Step 5: Solve for x
    x = 310,189,342,269,249/12,843,711
  6. Step 6: Final answer
    x = 24,151,068.35

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.