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Finding the Third Proportional to 1,144,628,763.75 and 2,479,414,016.25

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Solution

The third proportional to 1,144,628,763.75 and 2,479,414,016.25 is: 5,370,731,593.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,144,628,763.75 : 2,479,414,016.25 = 2,479,414,016.25 : x
  2. Step 2: Convert to fraction form
    1,144,628,763.75/2,479,414,016.25 = 2,479,414,016.25/x
  3. Step 3: Cross multiply
    1,144,628,763.75x = 2,479,414,016.25 × 2,479,414,016.25
  4. Step 4: Simplify right side
    1,144,628,763.75x = 6,147,493,863,976,954,880
  5. Step 5: Solve for x
    x = 6,147,493,863,976,954,880/1,144,628,763.75
  6. Step 6: Final answer
    x = 5,370,731,593.22

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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.