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Finding the Third Proportional to 1,144,645,458 and 2,479,449,012

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Solution

The third proportional to 1,144,645,458 and 2,479,449,012 is: 5,370,804,872.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,144,645,458 : 2,479,449,012 = 2,479,449,012 : x
  2. Step 2: Convert to fraction form
    1,144,645,458/2,479,449,012 = 2,479,449,012/x
  3. Step 3: Cross multiply
    1,144,645,458x = 2,479,449,012 × 2,479,449,012
  4. Step 4: Simplify right side
    1,144,645,458x = 6,147,667,403,107,776,512
  5. Step 5: Solve for x
    x = 6,147,667,403,107,776,512/1,144,645,458
  6. Step 6: Final answer
    x = 5,370,804,872.50

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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.