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Finding the Third Proportional to 126,053,364 and 274,192,512

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Solution

The third proportional to 126,053,364 and 274,192,512 is: 596,426,237.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,053,364 : 274,192,512 = 274,192,512 : x
  2. Step 2: Convert to fraction form
    126,053,364/274,192,512 = 274,192,512/x
  3. Step 3: Cross multiply
    126,053,364x = 274,192,512 × 274,192,512
  4. Step 4: Simplify right side
    126,053,364x = 75,181,533,636,870,144
  5. Step 5: Solve for x
    x = 75,181,533,636,870,144/126,053,364
  6. Step 6: Final answer
    x = 596,426,237.68

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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.