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Finding the Third Proportional to 7,474,661.44 and 11,530,738.13

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Solution

The third proportional to 7,474,661.44 and 11,530,738.13 is: 17,787,818.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,474,661.44 : 11,530,738.13 = 11,530,738.13 : x
  2. Step 2: Convert to fraction form
    7,474,661.44/11,530,738.13 = 11,530,738.13/x
  3. Step 3: Cross multiply
    7,474,661.44x = 11,530,738.13 × 11,530,738.13
  4. Step 4: Simplify right side
    7,474,661.44x = 132,957,921,707,328.52
  5. Step 5: Solve for x
    x = 132,957,921,707,328.52/7,474,661.44
  6. Step 6: Final answer
    x = 17,787,818.59

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.