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Finding the Third Proportional to 2,367,172 and 5,177,198

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Solution

The third proportional to 2,367,172 and 5,177,198 is: 11,322,953.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,367,172 : 5,177,198 = 5,177,198 : x
  2. Step 2: Convert to fraction form
    2,367,172/5,177,198 = 5,177,198/x
  3. Step 3: Cross multiply
    2,367,172x = 5,177,198 × 5,177,198
  4. Step 4: Simplify right side
    2,367,172x = 26,803,379,131,204
  5. Step 5: Solve for x
    x = 26,803,379,131,204/2,367,172
  6. Step 6: Final answer
    x = 11,322,953.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.