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Finding the Third Proportional to 240,311,250,024 and 500,399,106,672

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Solution

The third proportional to 240,311,250,024 and 500,399,106,672 is: 1,041,978,958,259.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,311,250,024 : 500,399,106,672 = 500,399,106,672 : x
  2. Step 2: Convert to fraction form
    240,311,250,024/500,399,106,672 = 500,399,106,672/x
  3. Step 3: Cross multiply
    240,311,250,024x = 500,399,106,672 × 500,399,106,672
  4. Step 4: Simplify right side
    240,311,250,024x = 250,399,265,958,135,622,270,976
  5. Step 5: Solve for x
    x = 250,399,265,958,135,622,270,976/240,311,250,024
  6. Step 6: Final answer
    x = 1,041,978,958,259.87

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.