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Finding the Third Proportional to 82,452,041 and 171,686,245

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Solution

The third proportional to 82,452,041 and 171,686,245 is: 357,494,688.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,452,041 : 171,686,245 = 171,686,245 : x
  2. Step 2: Convert to fraction form
    82,452,041/171,686,245 = 171,686,245/x
  3. Step 3: Cross multiply
    82,452,041x = 171,686,245 × 171,686,245
  4. Step 4: Simplify right side
    82,452,041x = 29,476,166,722,200,024
  5. Step 5: Solve for x
    x = 29,476,166,722,200,024/82,452,041
  6. Step 6: Final answer
    x = 357,494,688.61

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Why These Related Problems?

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