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Finding the Third Proportional to 18,661,006,659.66 and 41,125,720,796.30

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Solution

The third proportional to 18,661,006,659.66 and 41,125,720,796.30 is: 90,634,173,271.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,661,006,659.66 : 41,125,720,796.30 = 41,125,720,796.30 : x
  2. Step 2: Convert to fraction form
    18,661,006,659.66/41,125,720,796.30 = 41,125,720,796.30/x
  3. Step 3: Cross multiply
    18,661,006,659.66x = 41,125,720,796.30 × 41,125,720,796.30
  4. Step 4: Simplify right side
    18,661,006,659.66x = 1,691,324,911,015,057,424,384
  5. Step 5: Solve for x
    x = 1,691,324,911,015,057,424,384/18,661,006,659.66
  6. Step 6: Final answer
    x = 90,634,173,271.67

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