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Finding the Third Proportional to 2,361,892,138.45 and 5,074,296,680.53

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Solution

The third proportional to 2,361,892,138.45 and 5,074,296,680.53 is: 10,901,635,338.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361,892,138.45 : 5,074,296,680.53 = 5,074,296,680.53 : x
  2. Step 2: Convert to fraction form
    2,361,892,138.45/5,074,296,680.53 = 5,074,296,680.53/x
  3. Step 3: Cross multiply
    2,361,892,138.45x = 5,074,296,680.53 × 5,074,296,680.53
  4. Step 4: Simplify right side
    2,361,892,138.45x = 25,748,486,802,047,926,272
  5. Step 5: Solve for x
    x = 25,748,486,802,047,926,272/2,361,892,138.45
  6. Step 6: Final answer
    x = 10,901,635,338.40

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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.