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Finding the Third Proportional to 18,481,726,578 and 40,350,187,900

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Solution

The third proportional to 18,481,726,578 and 40,350,187,900 is: 88,094,456,797.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,481,726,578 : 40,350,187,900 = 40,350,187,900 : x
  2. Step 2: Convert to fraction form
    18,481,726,578/40,350,187,900 = 40,350,187,900/x
  3. Step 3: Cross multiply
    18,481,726,578x = 40,350,187,900 × 40,350,187,900
  4. Step 4: Simplify right side
    18,481,726,578x = 1,628,137,663,565,306,527,744
  5. Step 5: Solve for x
    x = 1,628,137,663,565,306,527,744/18,481,726,578
  6. Step 6: Final answer
    x = 88,094,456,797.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.