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Finding the Third Proportional to 57,786,408 and 120,355,824

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Solution

The third proportional to 57,786,408 and 120,355,824 is: 250,673,555.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,786,408 : 120,355,824 = 120,355,824 : x
  2. Step 2: Convert to fraction form
    57,786,408/120,355,824 = 120,355,824/x
  3. Step 3: Cross multiply
    57,786,408x = 120,355,824 × 120,355,824
  4. Step 4: Simplify right side
    57,786,408x = 14,485,524,370,718,976
  5. Step 5: Solve for x
    x = 14,485,524,370,718,976/57,786,408
  6. Step 6: Final answer
    x = 250,673,555.81

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.