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Finding the Third Proportional to 482,785,732.69 and 1,042,752,183.75

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Solution

The third proportional to 482,785,732.69 and 1,042,752,183.75 is: 2,252,204,328.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,785,732.69 : 1,042,752,183.75 = 1,042,752,183.75 : x
  2. Step 2: Convert to fraction form
    482,785,732.69/1,042,752,183.75 = 1,042,752,183.75/x
  3. Step 3: Cross multiply
    482,785,732.69x = 1,042,752,183.75 × 1,042,752,183.75
  4. Step 4: Simplify right side
    482,785,732.69x = 1,087,332,116,715,393,792
  5. Step 5: Solve for x
    x = 1,087,332,116,715,393,792/482,785,732.69
  6. Step 6: Final answer
    x = 2,252,204,328.12

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.