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Finding the Third Proportional to 39,632,283,655,816 and 80,394,632,773,973

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Solution

The third proportional to 39,632,283,655,816 and 80,394,632,773,973 is: 163,081,618,889,086.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,632,283,655,816 : 80,394,632,773,973 = 80,394,632,773,973 : x
  2. Step 2: Convert to fraction form
    39,632,283,655,816/80,394,632,773,973 = 80,394,632,773,973/x
  3. Step 3: Cross multiply
    39,632,283,655,816x = 80,394,632,773,973 × 80,394,632,773,973
  4. Step 4: Simplify right side
    39,632,283,655,816x = 6,463,296,978,861,973,880,820,465,664
  5. Step 5: Solve for x
    x = 6,463,296,978,861,973,880,820,465,664/39,632,283,655,816
  6. Step 6: Final answer
    x = 163,081,618,889,086.94

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.