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Finding the Third Proportional to 11,589,366,276 and 25,104,067,005

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Solution

The third proportional to 11,589,366,276 and 25,104,067,005 is: 54,378,657,571.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,589,366,276 : 25,104,067,005 = 25,104,067,005 : x
  2. Step 2: Convert to fraction form
    11,589,366,276/25,104,067,005 = 25,104,067,005/x
  3. Step 3: Cross multiply
    11,589,366,276x = 25,104,067,005 × 25,104,067,005
  4. Step 4: Simplify right side
    11,589,366,276x = 630,214,180,191,529,730,048
  5. Step 5: Solve for x
    x = 630,214,180,191,529,730,048/11,589,366,276
  6. Step 6: Final answer
    x = 54,378,657,571.35

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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.