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Finding the Third Proportional to 37,231,381,704 and 52,242,998,845.50

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Solution

The third proportional to 37,231,381,704 and 52,242,998,845.50 is: 73,307,269,390.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,231,381,704 : 52,242,998,845.50 = 52,242,998,845.50 : x
  2. Step 2: Convert to fraction form
    37,231,381,704/52,242,998,845.50 = 52,242,998,845.50/x
  3. Step 3: Cross multiply
    37,231,381,704x = 52,242,998,845.50 × 52,242,998,845.50
  4. Step 4: Simplify right side
    37,231,381,704x = 2,729,330,928,370,914,426,880
  5. Step 5: Solve for x
    x = 2,729,330,928,370,914,426,880/37,231,381,704
  6. Step 6: Final answer
    x = 73,307,269,390.91

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.