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Finding the Third Proportional to 2,383,182 and 5,107,500

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Solution

The third proportional to 2,383,182 and 5,107,500 is: 10,946,103.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,383,182 : 5,107,500 = 5,107,500 : x
  2. Step 2: Convert to fraction form
    2,383,182/5,107,500 = 5,107,500/x
  3. Step 3: Cross multiply
    2,383,182x = 5,107,500 × 5,107,500
  4. Step 4: Simplify right side
    2,383,182x = 26,086,556,250,000
  5. Step 5: Solve for x
    x = 26,086,556,250,000/2,383,182
  6. Step 6: Final answer
    x = 10,946,103.26

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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.