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Finding the Third Proportional to 2,526,007,279,592 and 5,454,616,310,992

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Solution

The third proportional to 2,526,007,279,592 and 5,454,616,310,992 is: 11,778,603,862,513.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,526,007,279,592 : 5,454,616,310,992 = 5,454,616,310,992 : x
  2. Step 2: Convert to fraction form
    2,526,007,279,592/5,454,616,310,992 = 5,454,616,310,992/x
  3. Step 3: Cross multiply
    2,526,007,279,592x = 5,454,616,310,992 × 5,454,616,310,992
  4. Step 4: Simplify right side
    2,526,007,279,592x = 29,752,839,100,139,976,586,690,560
  5. Step 5: Solve for x
    x = 29,752,839,100,139,976,586,690,560/2,526,007,279,592
  6. Step 6: Final answer
    x = 11,778,603,862,513.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.