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Finding the Third Proportional to 524,770,578 and 1,214,876,067.75

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Solution

The third proportional to 524,770,578 and 1,214,876,067.75 is: 2,812,512,594.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,770,578 : 1,214,876,067.75 = 1,214,876,067.75 : x
  2. Step 2: Convert to fraction form
    524,770,578/1,214,876,067.75 = 1,214,876,067.75/x
  3. Step 3: Cross multiply
    524,770,578x = 1,214,876,067.75 × 1,214,876,067.75
  4. Step 4: Simplify right side
    524,770,578x = 1,475,923,859,991,702,528
  5. Step 5: Solve for x
    x = 1,475,923,859,991,702,528/524,770,578
  6. Step 6: Final answer
    x = 2,812,512,594.77

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.