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Finding the Third Proportional to 2,728,231,790,328 and 5,870,250,310,068

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Solution

The third proportional to 2,728,231,790,328 and 5,870,250,310,068 is: 12,630,832,477,291.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,728,231,790,328 : 5,870,250,310,068 = 5,870,250,310,068 : x
  2. Step 2: Convert to fraction form
    2,728,231,790,328/5,870,250,310,068 = 5,870,250,310,068/x
  3. Step 3: Cross multiply
    2,728,231,790,328x = 5,870,250,310,068 × 5,870,250,310,068
  4. Step 4: Simplify right side
    2,728,231,790,328x = 34,459,838,702,853,451,532,992,512
  5. Step 5: Solve for x
    x = 34,459,838,702,853,451,532,992,512/2,728,231,790,328
  6. Step 6: Final answer
    x = 12,630,832,477,291.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.