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Finding the Third Proportional to 491,482,012 and 1,055,902,372

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Solution

The third proportional to 491,482,012 and 1,055,902,372 is: 2,268,505,849.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,482,012 : 1,055,902,372 = 1,055,902,372 : x
  2. Step 2: Convert to fraction form
    491,482,012/1,055,902,372 = 1,055,902,372/x
  3. Step 3: Cross multiply
    491,482,012x = 1,055,902,372 × 1,055,902,372
  4. Step 4: Simplify right side
    491,482,012x = 1,114,929,819,195,226,368
  5. Step 5: Solve for x
    x = 1,114,929,819,195,226,368/491,482,012
  6. Step 6: Final answer
    x = 2,268,505,849.60

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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.