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Finding the Third Proportional to 3,414,684,603 and 7,614,515,874

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Solution

The third proportional to 3,414,684,603 and 7,614,515,874 is: 16,979,855,751.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,414,684,603 : 7,614,515,874 = 7,614,515,874 : x
  2. Step 2: Convert to fraction form
    3,414,684,603/7,614,515,874 = 7,614,515,874/x
  3. Step 3: Cross multiply
    3,414,684,603x = 7,614,515,874 × 7,614,515,874
  4. Step 4: Simplify right side
    3,414,684,603x = 57,980,851,995,397,980,160
  5. Step 5: Solve for x
    x = 57,980,851,995,397,980,160/3,414,684,603
  6. Step 6: Final answer
    x = 16,979,855,751.38

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.