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Finding the Third Proportional to 5,917,797 and 12,749,763

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Solution

The third proportional to 5,917,797 and 12,749,763 is: 27,469,082.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,917,797 : 12,749,763 = 12,749,763 : x
  2. Step 2: Convert to fraction form
    5,917,797/12,749,763 = 12,749,763/x
  3. Step 3: Cross multiply
    5,917,797x = 12,749,763 × 12,749,763
  4. Step 4: Simplify right side
    5,917,797x = 162,556,456,556,169
  5. Step 5: Solve for x
    x = 162,556,456,556,169/5,917,797
  6. Step 6: Final answer
    x = 27,469,082.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.