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Finding the Third Proportional to 25,305,821,212 and 54,420,081,491

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Solution

The third proportional to 25,305,821,212 and 54,420,081,491 is: 117,030,198,098.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,305,821,212 : 54,420,081,491 = 54,420,081,491 : x
  2. Step 2: Convert to fraction form
    25,305,821,212/54,420,081,491 = 54,420,081,491/x
  3. Step 3: Cross multiply
    25,305,821,212x = 54,420,081,491 × 54,420,081,491
  4. Step 4: Simplify right side
    25,305,821,212x = 2,961,545,269,487,080,570,880
  5. Step 5: Solve for x
    x = 2,961,545,269,487,080,570,880/25,305,821,212
  6. Step 6: Final answer
    x = 117,030,198,098.56

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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.