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Finding the Third Proportional to 274,498,632 and 604,267,128

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Solution

The third proportional to 274,498,632 and 604,267,128 is: 1,330,202,483.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,498,632 : 604,267,128 = 604,267,128 : x
  2. Step 2: Convert to fraction form
    274,498,632/604,267,128 = 604,267,128/x
  3. Step 3: Cross multiply
    274,498,632x = 604,267,128 × 604,267,128
  4. Step 4: Simplify right side
    274,498,632x = 365,138,761,981,368,384
  5. Step 5: Solve for x
    x = 365,138,761,981,368,384/274,498,632
  6. Step 6: Final answer
    x = 1,330,202,483.42

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.