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Finding the Third Proportional to 25,612,098,008 and 55,498,947,004

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Solution

The third proportional to 25,612,098,008 and 55,498,947,004 is: 120,260,867,250.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,612,098,008 : 55,498,947,004 = 55,498,947,004 : x
  2. Step 2: Convert to fraction form
    25,612,098,008/55,498,947,004 = 55,498,947,004/x
  3. Step 3: Cross multiply
    25,612,098,008x = 55,498,947,004 × 55,498,947,004
  4. Step 4: Simplify right side
    25,612,098,008x = 3,080,133,118,552,800,493,568
  5. Step 5: Solve for x
    x = 3,080,133,118,552,800,493,568/25,612,098,008
  6. Step 6: Final answer
    x = 120,260,867,250.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.