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Finding the Third Proportional to 39,632,283,655,797 and 80,394,632,773,935

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Solution

The third proportional to 39,632,283,655,797 and 80,394,632,773,935 is: 163,081,618,889,010.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,632,283,655,797 : 80,394,632,773,935 = 80,394,632,773,935 : x
  2. Step 2: Convert to fraction form
    39,632,283,655,797/80,394,632,773,935 = 80,394,632,773,935/x
  3. Step 3: Cross multiply
    39,632,283,655,797x = 80,394,632,773,935 × 80,394,632,773,935
  4. Step 4: Simplify right side
    39,632,283,655,797x = 6,463,296,978,855,863,894,704,914,432
  5. Step 5: Solve for x
    x = 6,463,296,978,855,863,894,704,914,432/39,632,283,655,797
  6. Step 6: Final answer
    x = 163,081,618,889,010.94

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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.