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Finding the Third Proportional to 491,481,993 and 1,055,902,340

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Solution

The third proportional to 491,481,993 and 1,055,902,340 is: 2,268,505,799.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,481,993 : 1,055,902,340 = 1,055,902,340 : x
  2. Step 2: Convert to fraction form
    491,481,993/1,055,902,340 = 1,055,902,340/x
  3. Step 3: Cross multiply
    491,481,993x = 1,055,902,340 × 1,055,902,340
  4. Step 4: Simplify right side
    491,481,993x = 1,114,929,751,617,475,584
  5. Step 5: Solve for x
    x = 1,114,929,751,617,475,584/491,481,993
  6. Step 6: Final answer
    x = 2,268,505,799.80

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.