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Finding the Third Proportional to 378,493,705,634 and 814,392,970,842

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Solution

The third proportional to 378,493,705,634 and 814,392,970,842 is: 1,752,303,673,969.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,493,705,634 : 814,392,970,842 = 814,392,970,842 : x
  2. Step 2: Convert to fraction form
    378,493,705,634/814,392,970,842 = 814,392,970,842/x
  3. Step 3: Cross multiply
    378,493,705,634x = 814,392,970,842 × 814,392,970,842
  4. Step 4: Simplify right side
    378,493,705,634x = 663,235,910,956,858,671,628,288
  5. Step 5: Solve for x
    x = 663,235,910,956,858,671,628,288/378,493,705,634
  6. Step 6: Final answer
    x = 1,752,303,673,969.69

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Why These Related Problems?

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