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Finding the Third Proportional to 545,247,189 and 1,173,635,370

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Solution

The third proportional to 545,247,189 and 1,173,635,370 is: 2,526,230,321.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,247,189 : 1,173,635,370 = 1,173,635,370 : x
  2. Step 2: Convert to fraction form
    545,247,189/1,173,635,370 = 1,173,635,370/x
  3. Step 3: Cross multiply
    545,247,189x = 1,173,635,370 × 1,173,635,370
  4. Step 4: Simplify right side
    545,247,189x = 1,377,419,981,715,036,928
  5. Step 5: Solve for x
    x = 1,377,419,981,715,036,928/545,247,189
  6. Step 6: Final answer
    x = 2,526,230,321.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.