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Finding the Third Proportional to 183,274,347,449.82 and 394,558,720,358.08

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Solution

The third proportional to 183,274,347,449.82 and 394,558,720,358.08 is: 849,418,295,450.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,274,347,449.82 : 394,558,720,358.08 = 394,558,720,358.08 : x
  2. Step 2: Convert to fraction form
    183,274,347,449.82/394,558,720,358.08 = 394,558,720,358.08/x
  3. Step 3: Cross multiply
    183,274,347,449.82x = 394,558,720,358.08 × 394,558,720,358.08
  4. Step 4: Simplify right side
    183,274,347,449.82x = 155,676,583,810,605,602,832,384
  5. Step 5: Solve for x
    x = 155,676,583,810,605,602,832,384/183,274,347,449.82
  6. Step 6: Final answer
    x = 849,418,295,450.37

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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.