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Finding the Third Proportional to 345,382,128 and 751,278,707

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Solution

The third proportional to 345,382,128 and 751,278,707 is: 1,634,189,061.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,382,128 : 751,278,707 = 751,278,707 : x
  2. Step 2: Convert to fraction form
    345,382,128/751,278,707 = 751,278,707/x
  3. Step 3: Cross multiply
    345,382,128x = 751,278,707 × 751,278,707
  4. Step 4: Simplify right side
    345,382,128x = 564,419,695,591,591,872
  5. Step 5: Solve for x
    x = 564,419,695,591,591,872/345,382,128
  6. Step 6: Final answer
    x = 1,634,189,061.43

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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.