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Finding the Third Proportional to 491,481,995 and 1,055,902,344

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Solution

The third proportional to 491,481,995 and 1,055,902,344 is: 2,268,505,807.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,481,995 : 1,055,902,344 = 1,055,902,344 : x
  2. Step 2: Convert to fraction form
    491,481,995/1,055,902,344 = 1,055,902,344/x
  3. Step 3: Cross multiply
    491,481,995x = 1,055,902,344 × 1,055,902,344
  4. Step 4: Simplify right side
    491,481,995x = 1,114,929,760,064,694,272
  5. Step 5: Solve for x
    x = 1,114,929,760,064,694,272/491,481,995
  6. Step 6: Final answer
    x = 2,268,505,807.76

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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.