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Finding the Third Proportional to 2,192,900,198.63 and 4,787,644,414.50

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Solution

The third proportional to 2,192,900,198.63 and 4,787,644,414.50 is: 10,452,613,873.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,192,900,198.63 : 4,787,644,414.50 = 4,787,644,414.50 : x
  2. Step 2: Convert to fraction form
    2,192,900,198.63/4,787,644,414.50 = 4,787,644,414.50/x
  3. Step 3: Cross multiply
    2,192,900,198.63x = 4,787,644,414.50 × 4,787,644,414.50
  4. Step 4: Simplify right side
    2,192,900,198.63x = 22,921,539,039,693,049,856
  5. Step 5: Solve for x
    x = 22,921,539,039,693,049,856/2,192,900,198.63
  6. Step 6: Final answer
    x = 10,452,613,873.66

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1.5x scale

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.