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Finding the Third Proportional to 5,660,940 and 11,846,760

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Solution

The third proportional to 5,660,940 and 11,846,760 is: 24,791,946.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,660,940 : 11,846,760 = 11,846,760 : x
  2. Step 2: Convert to fraction form
    5,660,940/11,846,760 = 11,846,760/x
  3. Step 3: Cross multiply
    5,660,940x = 11,846,760 × 11,846,760
  4. Step 4: Simplify right side
    5,660,940x = 140,345,722,497,600
  5. Step 5: Solve for x
    x = 140,345,722,497,600/5,660,940
  6. Step 6: Final answer
    x = 24,791,946.66

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.