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Finding the Third Proportional to 4,331,844,656 and 9,494,132,314

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Solution

The third proportional to 4,331,844,656 and 9,494,132,314 is: 20,808,351,996.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,331,844,656 : 9,494,132,314 = 9,494,132,314 : x
  2. Step 2: Convert to fraction form
    4,331,844,656/9,494,132,314 = 9,494,132,314/x
  3. Step 3: Cross multiply
    4,331,844,656x = 9,494,132,314 × 9,494,132,314
  4. Step 4: Simplify right side
    4,331,844,656x = 90,138,548,395,738,988,544
  5. Step 5: Solve for x
    x = 90,138,548,395,738,988,544/4,331,844,656
  6. Step 6: Final answer
    x = 20,808,351,996.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.