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Finding the Third Proportional to 37,721,832 and 82,505,245

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Solution

The third proportional to 37,721,832 and 82,505,245 is: 180,455,590.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,721,832 : 82,505,245 = 82,505,245 : x
  2. Step 2: Convert to fraction form
    37,721,832/82,505,245 = 82,505,245/x
  3. Step 3: Cross multiply
    37,721,832x = 82,505,245 × 82,505,245
  4. Step 4: Simplify right side
    37,721,832x = 6,807,115,452,510,025
  5. Step 5: Solve for x
    x = 6,807,115,452,510,025/37,721,832
  6. Step 6: Final answer
    x = 180,455,590.08

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.