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Finding the Third Proportional to 5,846,198,616 and 13,795,982,424

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Solution

The third proportional to 5,846,198,616 and 13,795,982,424 is: 32,556,049,416.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,846,198,616 : 13,795,982,424 = 13,795,982,424 : x
  2. Step 2: Convert to fraction form
    5,846,198,616/13,795,982,424 = 13,795,982,424/x
  3. Step 3: Cross multiply
    5,846,198,616x = 13,795,982,424 × 13,795,982,424
  4. Step 4: Simplify right side
    5,846,198,616x = 190,329,131,043,316,924,416
  5. Step 5: Solve for x
    x = 190,329,131,043,316,924,416/5,846,198,616
  6. Step 6: Final answer
    x = 32,556,049,416.87

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.