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Finding the Third Proportional to 29,536,469,647 and 63,552,690,329

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Solution

The third proportional to 29,536,469,647 and 63,552,690,329 is: 136,744,319,694.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,536,469,647 : 63,552,690,329 = 63,552,690,329 : x
  2. Step 2: Convert to fraction form
    29,536,469,647/63,552,690,329 = 63,552,690,329/x
  3. Step 3: Cross multiply
    29,536,469,647x = 63,552,690,329 × 63,552,690,329
  4. Step 4: Simplify right side
    29,536,469,647x = 4,038,944,448,053,770,190,848
  5. Step 5: Solve for x
    x = 4,038,944,448,053,770,190,848/29,536,469,647
  6. Step 6: Final answer
    x = 136,744,319,694.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.