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Finding the Third Proportional to 10,244,054,181 and 22,843,548,366

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Solution

The third proportional to 10,244,054,181 and 22,843,548,366 is: 50,939,568,722.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,244,054,181 : 22,843,548,366 = 22,843,548,366 : x
  2. Step 2: Convert to fraction form
    10,244,054,181/22,843,548,366 = 22,843,548,366/x
  3. Step 3: Cross multiply
    10,244,054,181x = 22,843,548,366 × 22,843,548,366
  4. Step 4: Simplify right side
    10,244,054,181x = 521,827,701,949,781,245,952
  5. Step 5: Solve for x
    x = 521,827,701,949,781,245,952/10,244,054,181
  6. Step 6: Final answer
    x = 50,939,568,722.47

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.