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Finding the Third Proportional to 345,382,126 and 751,278,703

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Solution

The third proportional to 345,382,126 and 751,278,703 is: 1,634,189,053.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,382,126 : 751,278,703 = 751,278,703 : x
  2. Step 2: Convert to fraction form
    345,382,126/751,278,703 = 751,278,703/x
  3. Step 3: Cross multiply
    345,382,126x = 751,278,703 × 751,278,703
  4. Step 4: Simplify right side
    345,382,126x = 564,419,689,581,362,240
  5. Step 5: Solve for x
    x = 564,419,689,581,362,240/345,382,126
  6. Step 6: Final answer
    x = 1,634,189,053.49

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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.