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Finding the Third Proportional to 60,517,647,962 and 132,435,494,234

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Solution

The third proportional to 60,517,647,962 and 132,435,494,234 is: 289,818,932,553.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,517,647,962 : 132,435,494,234 = 132,435,494,234 : x
  2. Step 2: Convert to fraction form
    60,517,647,962/132,435,494,234 = 132,435,494,234/x
  3. Step 3: Cross multiply
    60,517,647,962x = 132,435,494,234 × 132,435,494,234
  4. Step 4: Simplify right side
    60,517,647,962x = 17,539,160,133,003,846,352,896
  5. Step 5: Solve for x
    x = 17,539,160,133,003,846,352,896/60,517,647,962
  6. Step 6: Final answer
    x = 289,818,932,553.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.