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Finding the Third Proportional to 12,427,638,576.75 and 27,261,331,992

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Solution

The third proportional to 12,427,638,576.75 and 27,261,331,992 is: 59,800,598,270.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,427,638,576.75 : 27,261,331,992 = 27,261,331,992 : x
  2. Step 2: Convert to fraction form
    12,427,638,576.75/27,261,331,992 = 27,261,331,992/x
  3. Step 3: Cross multiply
    12,427,638,576.75x = 27,261,331,992 × 27,261,331,992
  4. Step 4: Simplify right side
    12,427,638,576.75x = 743,180,221,978,042,695,680
  5. Step 5: Solve for x
    x = 743,180,221,978,042,695,680/12,427,638,576.75
  6. Step 6: Final answer
    x = 59,800,598,270.41

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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.