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Finding the Third Proportional to 18,661,006,878 and 41,125,721,238

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Solution

The third proportional to 18,661,006,878 and 41,125,721,238 is: 90,634,174,158.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,661,006,878 : 41,125,721,238 = 41,125,721,238 : x
  2. Step 2: Convert to fraction form
    18,661,006,878/41,125,721,238 = 41,125,721,238/x
  3. Step 3: Cross multiply
    18,661,006,878x = 41,125,721,238 × 41,125,721,238
  4. Step 4: Simplify right side
    18,661,006,878x = 1,691,324,947,345,684,299,776
  5. Step 5: Solve for x
    x = 1,691,324,947,345,684,299,776/18,661,006,878
  6. Step 6: Final answer
    x = 90,634,174,158.07

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.