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Finding the Third Proportional to 1,194,443,775 and 1,854,552,863

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Solution

The third proportional to 1,194,443,775 and 1,854,552,863 is: 2,879,471,092.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194,443,775 : 1,854,552,863 = 1,854,552,863 : x
  2. Step 2: Convert to fraction form
    1,194,443,775/1,854,552,863 = 1,854,552,863/x
  3. Step 3: Cross multiply
    1,194,443,775x = 1,854,552,863 × 1,854,552,863
  4. Step 4: Simplify right side
    1,194,443,775x = 3,439,366,321,661,496,832
  5. Step 5: Solve for x
    x = 3,439,366,321,661,496,832/1,194,443,775
  6. Step 6: Final answer
    x = 2,879,471,092.44

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.