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Finding the Third Proportional to 378,493,705,632 and 814,392,970,838

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Solution

The third proportional to 378,493,705,632 and 814,392,970,838 is: 1,752,303,673,961.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,493,705,632 : 814,392,970,838 = 814,392,970,838 : x
  2. Step 2: Convert to fraction form
    378,493,705,632/814,392,970,838 = 814,392,970,838/x
  3. Step 3: Cross multiply
    378,493,705,632x = 814,392,970,838 × 814,392,970,838
  4. Step 4: Simplify right side
    378,493,705,632x = 663,235,910,950,343,474,675,712
  5. Step 5: Solve for x
    x = 663,235,910,950,343,474,675,712/378,493,705,632
  6. Step 6: Final answer
    x = 1,752,303,673,961.73

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.