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Finding the Third Proportional to 2,573,106 and 5,500,325

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Solution

The third proportional to 2,573,106 and 5,500,325 is: 11,757,609.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,573,106 : 5,500,325 = 5,500,325 : x
  2. Step 2: Convert to fraction form
    2,573,106/5,500,325 = 5,500,325/x
  3. Step 3: Cross multiply
    2,573,106x = 5,500,325 × 5,500,325
  4. Step 4: Simplify right side
    2,573,106x = 30,253,575,105,625
  5. Step 5: Solve for x
    x = 30,253,575,105,625/2,573,106
  6. Step 6: Final answer
    x = 11,757,609.33

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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.