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Finding the Third Proportional to 15,425,269,422 and 21,722,178,450

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Solution

The third proportional to 15,425,269,422 and 21,722,178,450 is: 30,589,613,944.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,425,269,422 : 21,722,178,450 = 21,722,178,450 : x
  2. Step 2: Convert to fraction form
    15,425,269,422/21,722,178,450 = 21,722,178,450/x
  3. Step 3: Cross multiply
    15,425,269,422x = 21,722,178,450 × 21,722,178,450
  4. Step 4: Simplify right side
    15,425,269,422x = 471,853,036,613,644,386,304
  5. Step 5: Solve for x
    x = 471,853,036,613,644,386,304/15,425,269,422
  6. Step 6: Final answer
    x = 30,589,613,944.81

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.