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Finding the Third Proportional to 77,882,536 and 166,189,245

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Solution

The third proportional to 77,882,536 and 166,189,245 is: 354,622,057.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,882,536 : 166,189,245 = 166,189,245 : x
  2. Step 2: Convert to fraction form
    77,882,536/166,189,245 = 166,189,245/x
  3. Step 3: Cross multiply
    77,882,536x = 166,189,245 × 166,189,245
  4. Step 4: Simplify right side
    77,882,536x = 27,618,865,153,670,024
  5. Step 5: Solve for x
    x = 27,618,865,153,670,024/77,882,536
  6. Step 6: Final answer
    x = 354,622,057.42

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.