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Finding the Third Proportional to 5,192,047.69 and 8,060,239.13

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Solution

The third proportional to 5,192,047.69 and 8,060,239.13 is: 12,512,877.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,192,047.69 : 8,060,239.13 = 8,060,239.13 : x
  2. Step 2: Convert to fraction form
    5,192,047.69/8,060,239.13 = 8,060,239.13/x
  3. Step 3: Cross multiply
    5,192,047.69x = 8,060,239.13 × 8,060,239.13
  4. Step 4: Simplify right side
    5,192,047.69x = 64,967,454,752,180.77
  5. Step 5: Solve for x
    x = 64,967,454,752,180.77/5,192,047.69
  6. Step 6: Final answer
    x = 12,512,877.13

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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.