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Finding the Third Proportional to 89,573,969,472 and 192,440,957,976

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Solution

The third proportional to 89,573,969,472 and 192,440,957,976 is: 413,440,673,948.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,573,969,472 : 192,440,957,976 = 192,440,957,976 : x
  2. Step 2: Convert to fraction form
    89,573,969,472/192,440,957,976 = 192,440,957,976/x
  3. Step 3: Cross multiply
    89,573,969,472x = 192,440,957,976 × 192,440,957,976
  4. Step 4: Simplify right side
    89,573,969,472x = 37,033,522,306,720,597,016,576
  5. Step 5: Solve for x
    x = 37,033,522,306,720,597,016,576/89,573,969,472
  6. Step 6: Final answer
    x = 413,440,673,948.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.