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Finding the Third Proportional to 501,682,651 and 1,080,247,093

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Solution

The third proportional to 501,682,651 and 1,080,247,093 is: 2,326,039,737.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,682,651 : 1,080,247,093 = 1,080,247,093 : x
  2. Step 2: Convert to fraction form
    501,682,651/1,080,247,093 = 1,080,247,093/x
  3. Step 3: Cross multiply
    501,682,651x = 1,080,247,093 × 1,080,247,093
  4. Step 4: Simplify right side
    501,682,651x = 1,166,933,781,934,950,656
  5. Step 5: Solve for x
    x = 1,166,933,781,934,950,656/501,682,651
  6. Step 6: Final answer
    x = 2,326,039,737.69

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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.