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Finding the Third Proportional to 613,403,099 and 1,320,339,811

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Solution

The third proportional to 613,403,099 and 1,320,339,811 is: 2,842,009,144.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,403,099 : 1,320,339,811 = 1,320,339,811 : x
  2. Step 2: Convert to fraction form
    613,403,099/1,320,339,811 = 1,320,339,811/x
  3. Step 3: Cross multiply
    613,403,099x = 1,320,339,811 × 1,320,339,811
  4. Step 4: Simplify right side
    613,403,099x = 1,743,297,216,511,515,648
  5. Step 5: Solve for x
    x = 1,743,297,216,511,515,648/613,403,099
  6. Step 6: Final answer
    x = 2,842,009,144.32

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Why These Related Problems?

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