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Finding the Third Proportional to 34,089,966 and 72,966,183

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Solution

The third proportional to 34,089,966 and 72,966,183 is: 156,176,860.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,089,966 : 72,966,183 = 72,966,183 : x
  2. Step 2: Convert to fraction form
    34,089,966/72,966,183 = 72,966,183/x
  3. Step 3: Cross multiply
    34,089,966x = 72,966,183 × 72,966,183
  4. Step 4: Simplify right side
    34,089,966x = 5,324,063,861,589,489
  5. Step 5: Solve for x
    x = 5,324,063,861,589,489/34,089,966
  6. Step 6: Final answer
    x = 156,176,860.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.