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Finding the Third Proportional to 2,843,693,452 and 6,182,346,946

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Solution

The third proportional to 2,843,693,452 and 6,182,346,946 is: 13,440,764,416.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,843,693,452 : 6,182,346,946 = 6,182,346,946 : x
  2. Step 2: Convert to fraction form
    2,843,693,452/6,182,346,946 = 6,182,346,946/x
  3. Step 3: Cross multiply
    2,843,693,452x = 6,182,346,946 × 6,182,346,946
  4. Step 4: Simplify right side
    2,843,693,452x = 38,221,413,760,715,530,240
  5. Step 5: Solve for x
    x = 38,221,413,760,715,530,240/2,843,693,452
  6. Step 6: Final answer
    x = 13,440,764,416.37

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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.