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Finding the Third Proportional to 57,786,412 and 120,355,832

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Solution

The third proportional to 57,786,412 and 120,355,832 is: 250,673,571.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,786,412 : 120,355,832 = 120,355,832 : x
  2. Step 2: Convert to fraction form
    57,786,412/120,355,832 = 120,355,832/x
  3. Step 3: Cross multiply
    57,786,412x = 120,355,832 × 120,355,832
  4. Step 4: Simplify right side
    57,786,412x = 14,485,526,296,412,224
  5. Step 5: Solve for x
    x = 14,485,526,296,412,224/57,786,412
  6. Step 6: Final answer
    x = 250,673,571.78

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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.