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Finding the Third Proportional to 23,854,902.75 and 51,933,267

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Solution

The third proportional to 23,854,902.75 and 51,933,267 is: 113,061,212.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,854,902.75 : 51,933,267 = 51,933,267 : x
  2. Step 2: Convert to fraction form
    23,854,902.75/51,933,267 = 51,933,267/x
  3. Step 3: Cross multiply
    23,854,902.75x = 51,933,267 × 51,933,267
  4. Step 4: Simplify right side
    23,854,902.75x = 2,697,064,221,293,289
  5. Step 5: Solve for x
    x = 2,697,064,221,293,289/23,854,902.75
  6. Step 6: Final answer
    x = 113,061,212.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.