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Finding the Third Proportional to 11,132,296,596 and 23,858,147,826

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Solution

The third proportional to 11,132,296,596 and 23,858,147,826 is: 51,131,517,452.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,132,296,596 : 23,858,147,826 = 23,858,147,826 : x
  2. Step 2: Convert to fraction form
    11,132,296,596/23,858,147,826 = 23,858,147,826/x
  3. Step 3: Cross multiply
    11,132,296,596x = 23,858,147,826 × 23,858,147,826
  4. Step 4: Simplify right side
    11,132,296,596x = 569,211,217,687,268,556,800
  5. Step 5: Solve for x
    x = 569,211,217,687,268,556,800/11,132,296,596
  6. Step 6: Final answer
    x = 51,131,517,452.72

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.