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Finding the Third Proportional to 3,464,413,976 and 8,175,396,956

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Solution

The third proportional to 3,464,413,976 and 8,175,396,956 is: 19,292,473,662.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,464,413,976 : 8,175,396,956 = 8,175,396,956 : x
  2. Step 2: Convert to fraction form
    3,464,413,976/8,175,396,956 = 8,175,396,956/x
  3. Step 3: Cross multiply
    3,464,413,976x = 8,175,396,956 × 8,175,396,956
  4. Step 4: Simplify right side
    3,464,413,976x = 66,837,115,388,174,065,664
  5. Step 5: Solve for x
    x = 66,837,115,388,174,065,664/3,464,413,976
  6. Step 6: Final answer
    x = 19,292,473,662.56

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.