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Finding the Third Proportional to 35,173,181,694 and 75,856,188,156

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Solution

The third proportional to 35,173,181,694 and 75,856,188,156 is: 163,595,131,416.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,173,181,694 : 75,856,188,156 = 75,856,188,156 : x
  2. Step 2: Convert to fraction form
    35,173,181,694/75,856,188,156 = 75,856,188,156/x
  3. Step 3: Cross multiply
    35,173,181,694x = 75,856,188,156 × 75,856,188,156
  4. Step 4: Simplify right side
    35,173,181,694x = 5,754,161,281,558,474,915,840
  5. Step 5: Solve for x
    x = 5,754,161,281,558,474,915,840/35,173,181,694
  6. Step 6: Final answer
    x = 163,595,131,416.28

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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.