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Finding the Third Proportional to 684,508,164 and 1,494,451,020

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Solution

The third proportional to 684,508,164 and 1,494,451,020 is: 3,262,757,069.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,508,164 : 1,494,451,020 = 1,494,451,020 : x
  2. Step 2: Convert to fraction form
    684,508,164/1,494,451,020 = 1,494,451,020/x
  3. Step 3: Cross multiply
    684,508,164x = 1,494,451,020 × 1,494,451,020
  4. Step 4: Simplify right side
    684,508,164x = 2,233,383,851,179,040,512
  5. Step 5: Solve for x
    x = 2,233,383,851,179,040,512/684,508,164
  6. Step 6: Final answer
    x = 3,262,757,069.44

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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.