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Finding the Third Proportional to 36,422,530 and 78,037,318

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Solution

The third proportional to 36,422,530 and 78,037,318 is: 167,199,340.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,422,530 : 78,037,318 = 78,037,318 : x
  2. Step 2: Convert to fraction form
    36,422,530/78,037,318 = 78,037,318/x
  3. Step 3: Cross multiply
    36,422,530x = 78,037,318 × 78,037,318
  4. Step 4: Simplify right side
    36,422,530x = 6,089,823,000,633,124
  5. Step 5: Solve for x
    x = 6,089,823,000,633,124/36,422,530
  6. Step 6: Final answer
    x = 167,199,340.65

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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.