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Finding the Third Proportional to 7,782,102 and 11,085,738.75

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Solution

The third proportional to 7,782,102 and 11,085,738.75 is: 15,791,826.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,782,102 : 11,085,738.75 = 11,085,738.75 : x
  2. Step 2: Convert to fraction form
    7,782,102/11,085,738.75 = 11,085,738.75/x
  3. Step 3: Cross multiply
    7,782,102x = 11,085,738.75 × 11,085,738.75
  4. Step 4: Simplify right side
    7,782,102x = 122,893,603,633,251.56
  5. Step 5: Solve for x
    x = 122,893,603,633,251.56/7,782,102
  6. Step 6: Final answer
    x = 15,791,826.38

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.