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Finding the Third Proportional to 324,393,121 and 671,780,361

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Solution

The third proportional to 324,393,121 and 671,780,361 is: 1,391,178,863.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,393,121 : 671,780,361 = 671,780,361 : x
  2. Step 2: Convert to fraction form
    324,393,121/671,780,361 = 671,780,361/x
  3. Step 3: Cross multiply
    324,393,121x = 671,780,361 × 671,780,361
  4. Step 4: Simplify right side
    324,393,121x = 451,288,853,425,290,304
  5. Step 5: Solve for x
    x = 451,288,853,425,290,304/324,393,121
  6. Step 6: Final answer
    x = 1,391,178,863.58

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.