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Finding the Third Proportional to 3,231,702,296 and 6,979,964,272

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Solution

The third proportional to 3,231,702,296 and 6,979,964,272 is: 15,075,615,504.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,231,702,296 : 6,979,964,272 = 6,979,964,272 : x
  2. Step 2: Convert to fraction form
    3,231,702,296/6,979,964,272 = 6,979,964,272/x
  3. Step 3: Cross multiply
    3,231,702,296x = 6,979,964,272 × 6,979,964,272
  4. Step 4: Simplify right side
    3,231,702,296x = 48,719,901,238,396,493,824
  5. Step 5: Solve for x
    x = 48,719,901,238,396,493,824/3,231,702,296
  6. Step 6: Final answer
    x = 15,075,615,504.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.