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Finding the Third Proportional to 568,191,101,446.60 and 1,236,406,750,694

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Solution

The third proportional to 568,191,101,446.60 and 1,236,406,750,694 is: 2,690,470,951,181.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,191,101,446.60 : 1,236,406,750,694 = 1,236,406,750,694 : x
  2. Step 2: Convert to fraction form
    568,191,101,446.60/1,236,406,750,694 = 1,236,406,750,694/x
  3. Step 3: Cross multiply
    568,191,101,446.60x = 1,236,406,750,694 × 1,236,406,750,694
  4. Step 4: Simplify right side
    568,191,101,446.60x = 1,528,701,653,161,694,946,394,112
  5. Step 5: Solve for x
    x = 1,528,701,653,161,694,946,394,112/568,191,101,446.60
  6. Step 6: Final answer
    x = 2,690,470,951,181.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.