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Finding the Third Proportional to 1,162,846,186 and 1,787,377,958

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Solution

The third proportional to 1,162,846,186 and 1,787,377,958 is: 2,747,328,067.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162,846,186 : 1,787,377,958 = 1,787,377,958 : x
  2. Step 2: Convert to fraction form
    1,162,846,186/1,787,377,958 = 1,787,377,958/x
  3. Step 3: Cross multiply
    1,162,846,186x = 1,787,377,958 × 1,787,377,958
  4. Step 4: Simplify right side
    1,162,846,186x = 3,194,719,964,744,249,856
  5. Step 5: Solve for x
    x = 3,194,719,964,744,249,856/1,162,846,186
  6. Step 6: Final answer
    x = 2,747,328,067.29

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.