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Finding the Third Proportional to 5,192,044.31 and 8,060,234.06

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Solution

The third proportional to 5,192,044.31 and 8,060,234.06 is: 12,512,869.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,192,044.31 : 8,060,234.06 = 8,060,234.06 : x
  2. Step 2: Convert to fraction form
    5,192,044.31/8,060,234.06 = 8,060,234.06/x
  3. Step 3: Cross multiply
    5,192,044.31x = 8,060,234.06 × 8,060,234.06
  4. Step 4: Simplify right side
    5,192,044.31x = 64,967,373,142,285.25
  5. Step 5: Solve for x
    x = 64,967,373,142,285.25/5,192,044.31
  6. Step 6: Final answer
    x = 12,512,869.54

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.