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Finding the Third Proportional to 57,747,795.75 and 128,407,087.69

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Solution

The third proportional to 57,747,795.75 and 128,407,087.69 is: 285,523,974.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,747,795.75 : 128,407,087.69 = 128,407,087.69 : x
  2. Step 2: Convert to fraction form
    57,747,795.75/128,407,087.69 = 128,407,087.69/x
  3. Step 3: Cross multiply
    57,747,795.75x = 128,407,087.69 × 128,407,087.69
  4. Step 4: Simplify right side
    57,747,795.75x = 16,488,380,168,385,314
  5. Step 5: Solve for x
    x = 16,488,380,168,385,314/57,747,795.75
  6. Step 6: Final answer
    x = 285,523,974.63

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.