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Finding the Third Proportional to 613,403,151 and 1,320,339,930

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Solution

The third proportional to 613,403,151 and 1,320,339,930 is: 2,842,009,415.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,403,151 : 1,320,339,930 = 1,320,339,930 : x
  2. Step 2: Convert to fraction form
    613,403,151/1,320,339,930 = 1,320,339,930/x
  3. Step 3: Cross multiply
    613,403,151x = 1,320,339,930 × 1,320,339,930
  4. Step 4: Simplify right side
    613,403,151x = 1,743,297,530,752,404,992
  5. Step 5: Solve for x
    x = 1,743,297,530,752,404,992/613,403,151
  6. Step 6: Final answer
    x = 2,842,009,415.68

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.