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Finding the Third Proportional to 57,880,120 and 120,523,524

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Solution

The third proportional to 57,880,120 and 120,523,524 is: 250,965,613.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,880,120 : 120,523,524 = 120,523,524 : x
  2. Step 2: Convert to fraction form
    57,880,120/120,523,524 = 120,523,524/x
  3. Step 3: Cross multiply
    57,880,120x = 120,523,524 × 120,523,524
  4. Step 4: Simplify right side
    57,880,120x = 14,525,919,837,378,576
  5. Step 5: Solve for x
    x = 14,525,919,837,378,576/57,880,120
  6. Step 6: Final answer
    x = 250,965,613.71

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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.