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Finding the Third Proportional to 616,753,180 and 1,346,524,990

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Solution

The third proportional to 616,753,180 and 1,346,524,990 is: 2,939,797,649.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,753,180 : 1,346,524,990 = 1,346,524,990 : x
  2. Step 2: Convert to fraction form
    616,753,180/1,346,524,990 = 1,346,524,990/x
  3. Step 3: Cross multiply
    616,753,180x = 1,346,524,990 × 1,346,524,990
  4. Step 4: Simplify right side
    616,753,180x = 1,813,129,548,694,500,096
  5. Step 5: Solve for x
    x = 1,813,129,548,694,500,096/616,753,180
  6. Step 6: Final answer
    x = 2,939,797,649.19

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.