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Finding the Third Proportional to 57,786,414 and 120,355,836

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Solution

The third proportional to 57,786,414 and 120,355,836 is: 250,673,579.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,786,414 : 120,355,836 = 120,355,836 : x
  2. Step 2: Convert to fraction form
    57,786,414/120,355,836 = 120,355,836/x
  3. Step 3: Cross multiply
    57,786,414x = 120,355,836 × 120,355,836
  4. Step 4: Simplify right side
    57,786,414x = 14,485,527,259,258,896
  5. Step 5: Solve for x
    x = 14,485,527,259,258,896/57,786,414
  6. Step 6: Final answer
    x = 250,673,579.77

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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.