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Finding the Third Proportional to 424,873,787,208 and 866,814,716,760

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Solution

The third proportional to 424,873,787,208 and 866,814,716,760 is: 1,768,449,303,802.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,873,787,208 : 866,814,716,760 = 866,814,716,760 : x
  2. Step 2: Convert to fraction form
    424,873,787,208/866,814,716,760 = 866,814,716,760/x
  3. Step 3: Cross multiply
    424,873,787,208x = 866,814,716,760 × 866,814,716,760
  4. Step 4: Simplify right side
    424,873,787,208x = 751,367,753,191,718,958,137,344
  5. Step 5: Solve for x
    x = 751,367,753,191,718,958,137,344/424,873,787,208
  6. Step 6: Final answer
    x = 1,768,449,303,802.03

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.