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Finding the Third Proportional to 1,916,694,517 and 2,867,379,826

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Solution

The third proportional to 1,916,694,517 and 2,867,379,826 is: 4,289,607,443.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,916,694,517 : 2,867,379,826 = 2,867,379,826 : x
  2. Step 2: Convert to fraction form
    1,916,694,517/2,867,379,826 = 2,867,379,826/x
  3. Step 3: Cross multiply
    1,916,694,517x = 2,867,379,826 × 2,867,379,826
  4. Step 4: Simplify right side
    1,916,694,517x = 8,221,867,066,551,790,592
  5. Step 5: Solve for x
    x = 8,221,867,066,551,790,592/1,916,694,517
  6. Step 6: Final answer
    x = 4,289,607,443.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.