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Finding the Third Proportional to 1,162,853,904 and 1,787,386,977

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Solution

The third proportional to 1,162,853,904 and 1,787,386,977 is: 2,747,337,558.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162,853,904 : 1,787,386,977 = 1,787,386,977 : x
  2. Step 2: Convert to fraction form
    1,162,853,904/1,787,386,977 = 1,787,386,977/x
  3. Step 3: Cross multiply
    1,162,853,904x = 1,787,386,977 × 1,787,386,977
  4. Step 4: Simplify right side
    1,162,853,904x = 3,194,752,205,549,198,336
  5. Step 5: Solve for x
    x = 3,194,752,205,549,198,336/1,162,853,904
  6. Step 6: Final answer
    x = 2,747,337,558.54

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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.