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Finding the Third Proportional to 127,180,974 and 275,490,449

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Solution

The third proportional to 127,180,974 and 275,490,449 is: 596,747,965.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,180,974 : 275,490,449 = 275,490,449 : x
  2. Step 2: Convert to fraction form
    127,180,974/275,490,449 = 275,490,449/x
  3. Step 3: Cross multiply
    127,180,974x = 275,490,449 × 275,490,449
  4. Step 4: Simplify right side
    127,180,974x = 75,894,987,490,221,600
  5. Step 5: Solve for x
    x = 75,894,987,490,221,600/127,180,974
  6. Step 6: Final answer
    x = 596,747,965.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.