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Finding the Third Proportional to 2,843,693,446 and 6,182,346,934

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Solution

The third proportional to 2,843,693,446 and 6,182,346,934 is: 13,440,764,392.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,843,693,446 : 6,182,346,934 = 6,182,346,934 : x
  2. Step 2: Convert to fraction form
    2,843,693,446/6,182,346,934 = 6,182,346,934/x
  3. Step 3: Cross multiply
    2,843,693,446x = 6,182,346,934 × 6,182,346,934
  4. Step 4: Simplify right side
    2,843,693,446x = 38,221,413,612,339,200,000
  5. Step 5: Solve for x
    x = 38,221,413,612,339,200,000/2,843,693,446
  6. Step 6: Final answer
    x = 13,440,764,392.56

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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.