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Finding the Third Proportional to 36,568,624.50 and 76,163,935.50

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Solution

The third proportional to 36,568,624.50 and 76,163,935.50 is: 158,631,754.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,568,624.50 : 76,163,935.50 = 76,163,935.50 : x
  2. Step 2: Convert to fraction form
    36,568,624.50/76,163,935.50 = 76,163,935.50/x
  3. Step 3: Cross multiply
    36,568,624.50x = 76,163,935.50 × 76,163,935.50
  4. Step 4: Simplify right side
    36,568,624.50x = 5,800,945,070,848,160
  5. Step 5: Solve for x
    x = 5,800,945,070,848,160/36,568,624.50
  6. Step 6: Final answer
    x = 158,631,754.68

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.