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Finding the Third Proportional to 60,517,647,961 and 132,435,494,226

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Solution

The third proportional to 60,517,647,961 and 132,435,494,226 is: 289,818,932,523.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,517,647,961 : 132,435,494,226 = 132,435,494,226 : x
  2. Step 2: Convert to fraction form
    60,517,647,961/132,435,494,226 = 132,435,494,226/x
  3. Step 3: Cross multiply
    60,517,647,961x = 132,435,494,226 × 132,435,494,226
  4. Step 4: Simplify right side
    60,517,647,961x = 17,539,160,130,884,879,777,792
  5. Step 5: Solve for x
    x = 17,539,160,130,884,879,777,792/60,517,647,961
  6. Step 6: Final answer
    x = 289,818,932,523.42

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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.