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Finding the Third Proportional to 35,394,679,629 and 75,837,926,961

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Solution

The third proportional to 35,394,679,629 and 75,837,926,961 is: 162,493,098,568.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,394,679,629 : 75,837,926,961 = 75,837,926,961 : x
  2. Step 2: Convert to fraction form
    35,394,679,629/75,837,926,961 = 75,837,926,961/x
  3. Step 3: Cross multiply
    35,394,679,629x = 75,837,926,961 × 75,837,926,961
  4. Step 4: Simplify right side
    35,394,679,629x = 5,751,391,165,741,970,489,344
  5. Step 5: Solve for x
    x = 5,751,391,165,741,970,489,344/35,394,679,629
  6. Step 6: Final answer
    x = 162,493,098,568.12

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.