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Finding the Third Proportional to 231,503,004,756 and 501,474,644,640

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Solution

The third proportional to 231,503,004,756 and 501,474,644,640 is: 1,086,278,856,215.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,503,004,756 : 501,474,644,640 = 501,474,644,640 : x
  2. Step 2: Convert to fraction form
    231,503,004,756/501,474,644,640 = 501,474,644,640/x
  3. Step 3: Cross multiply
    231,503,004,756x = 501,474,644,640 × 501,474,644,640
  4. Step 4: Simplify right side
    231,503,004,756x = 251,476,819,216,814,280,015,872
  5. Step 5: Solve for x
    x = 251,476,819,216,814,280,015,872/231,503,004,756
  6. Step 6: Final answer
    x = 1,086,278,856,215.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.