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Finding the Third Proportional to 36,567,958.50 and 76,162,666.50

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Solution

The third proportional to 36,567,958.50 and 76,162,666.50 is: 158,629,357.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,567,958.50 : 76,162,666.50 = 76,162,666.50 : x
  2. Step 2: Convert to fraction form
    36,567,958.50/76,162,666.50 = 76,162,666.50/x
  3. Step 3: Cross multiply
    36,567,958.50x = 76,162,666.50 × 76,162,666.50
  4. Step 4: Simplify right side
    36,567,958.50x = 5,800,751,768,390,222
  5. Step 5: Solve for x
    x = 5,800,751,768,390,222/36,567,958.50
  6. Step 6: Final answer
    x = 158,629,357.68

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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.