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Finding the Third Proportional to 7,694,367.19 and 12,007,381.78

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Solution

The third proportional to 7,694,367.19 and 12,007,381.78 is: 18,738,021.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,694,367.19 : 12,007,381.78 = 12,007,381.78 : x
  2. Step 2: Convert to fraction form
    7,694,367.19/12,007,381.78 = 12,007,381.78/x
  3. Step 3: Cross multiply
    7,694,367.19x = 12,007,381.78 × 12,007,381.78
  4. Step 4: Simplify right side
    7,694,367.19x = 144,177,217,240,694.44
  5. Step 5: Solve for x
    x = 144,177,217,240,694.44/7,694,367.19
  6. Step 6: Final answer
    x = 18,738,021.43

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.