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Finding the Third Proportional to 493,207,896.38 and 1,084,043,472.75

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Solution

The third proportional to 493,207,896.38 and 1,084,043,472.75 is: 2,382,667,145.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,207,896.38 : 1,084,043,472.75 = 1,084,043,472.75 : x
  2. Step 2: Convert to fraction form
    493,207,896.38/1,084,043,472.75 = 1,084,043,472.75/x
  3. Step 3: Cross multiply
    493,207,896.38x = 1,084,043,472.75 × 1,084,043,472.75
  4. Step 4: Simplify right side
    493,207,896.38x = 1,175,150,250,811,879,936
  5. Step 5: Solve for x
    x = 1,175,150,250,811,879,936/493,207,896.38
  6. Step 6: Final answer
    x = 2,382,667,145.94

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.