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Finding the Third Proportional to 378,128,844 and 820,792,008

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Solution

The third proportional to 378,128,844 and 820,792,008 is: 1,781,666,569.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,128,844 : 820,792,008 = 820,792,008 : x
  2. Step 2: Convert to fraction form
    378,128,844/820,792,008 = 820,792,008/x
  3. Step 3: Cross multiply
    378,128,844x = 820,792,008 × 820,792,008
  4. Step 4: Simplify right side
    378,128,844x = 673,699,520,396,672,000
  5. Step 5: Solve for x
    x = 673,699,520,396,672,000/378,128,844
  6. Step 6: Final answer
    x = 1,781,666,569.71

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.