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Finding the Third Proportional to 11,682,524,524 and 27,550,392,658

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Solution

The third proportional to 11,682,524,524 and 27,550,392,658 is: 64,970,900,257.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,682,524,524 : 27,550,392,658 = 27,550,392,658 : x
  2. Step 2: Convert to fraction form
    11,682,524,524/27,550,392,658 = 27,550,392,658/x
  3. Step 3: Cross multiply
    11,682,524,524x = 27,550,392,658 × 27,550,392,658
  4. Step 4: Simplify right side
    11,682,524,524x = 759,024,135,609,980,289,024
  5. Step 5: Solve for x
    x = 759,024,135,609,980,289,024/11,682,524,524
  6. Step 6: Final answer
    x = 64,970,900,257.96

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.