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Finding the Third Proportional to 57,695,504,452 and 125,322,965,156

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Solution

The third proportional to 57,695,504,452 and 125,322,965,156 is: 272,219,573,165.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,695,504,452 : 125,322,965,156 = 125,322,965,156 : x
  2. Step 2: Convert to fraction form
    57,695,504,452/125,322,965,156 = 125,322,965,156/x
  3. Step 3: Cross multiply
    57,695,504,452x = 125,322,965,156 × 125,322,965,156
  4. Step 4: Simplify right side
    57,695,504,452x = 15,705,845,595,491,989,979,136
  5. Step 5: Solve for x
    x = 15,705,845,595,491,989,979,136/57,695,504,452
  6. Step 6: Final answer
    x = 272,219,573,165.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.