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Finding the Third Proportional to 35,173,181,682 and 75,856,188,132

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Solution

The third proportional to 35,173,181,682 and 75,856,188,132 is: 163,595,131,368.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,173,181,682 : 75,856,188,132 = 75,856,188,132 : x
  2. Step 2: Convert to fraction form
    35,173,181,682/75,856,188,132 = 75,856,188,132/x
  3. Step 3: Cross multiply
    35,173,181,682x = 75,856,188,132 × 75,856,188,132
  4. Step 4: Simplify right side
    35,173,181,682x = 5,754,161,277,917,377,593,344
  5. Step 5: Solve for x
    x = 5,754,161,277,917,377,593,344/35,173,181,682
  6. Step 6: Final answer
    x = 163,595,131,368.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.