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Finding the Third Proportional to 37,870,591.50 and 82,827,063

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Solution

The third proportional to 37,870,591.50 and 82,827,063 is: 181,151,708.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,870,591.50 : 82,827,063 = 82,827,063 : x
  2. Step 2: Convert to fraction form
    37,870,591.50/82,827,063 = 82,827,063/x
  3. Step 3: Cross multiply
    37,870,591.50x = 82,827,063 × 82,827,063
  4. Step 4: Simplify right side
    37,870,591.50x = 6,860,322,365,205,969
  5. Step 5: Solve for x
    x = 6,860,322,365,205,969/37,870,591.50
  6. Step 6: Final answer
    x = 181,151,708.85

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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.