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Finding the Third Proportional to 35,394,679,578 and 75,837,926,874

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Solution

The third proportional to 35,394,679,578 and 75,837,926,874 is: 162,493,098,429.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,394,679,578 : 75,837,926,874 = 75,837,926,874 : x
  2. Step 2: Convert to fraction form
    35,394,679,578/75,837,926,874 = 75,837,926,874/x
  3. Step 3: Cross multiply
    35,394,679,578x = 75,837,926,874 × 75,837,926,874
  4. Step 4: Simplify right side
    35,394,679,578x = 5,751,391,152,546,171,060,224
  5. Step 5: Solve for x
    x = 5,751,391,152,546,171,060,224/35,394,679,578
  6. Step 6: Final answer
    x = 162,493,098,429.43

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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.