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Finding the Third Proportional to 127,079,204 and 277,463,188

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Solution

The third proportional to 127,079,204 and 277,463,188 is: 605,809,749.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,079,204 : 277,463,188 = 277,463,188 : x
  2. Step 2: Convert to fraction form
    127,079,204/277,463,188 = 277,463,188/x
  3. Step 3: Cross multiply
    127,079,204x = 277,463,188 × 277,463,188
  4. Step 4: Simplify right side
    127,079,204x = 76,985,820,695,123,344
  5. Step 5: Solve for x
    x = 76,985,820,695,123,344/127,079,204
  6. Step 6: Final answer
    x = 605,809,749.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.