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Finding the Third Proportional to 11,589,366,285 and 25,104,067,023

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Solution

The third proportional to 11,589,366,285 and 25,104,067,023 is: 54,378,657,607.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,589,366,285 : 25,104,067,023 = 25,104,067,023 : x
  2. Step 2: Convert to fraction form
    11,589,366,285/25,104,067,023 = 25,104,067,023/x
  3. Step 3: Cross multiply
    11,589,366,285x = 25,104,067,023 × 25,104,067,023
  4. Step 4: Simplify right side
    11,589,366,285x = 630,214,181,095,276,019,712
  5. Step 5: Solve for x
    x = 630,214,181,095,276,019,712/11,589,366,285
  6. Step 6: Final answer
    x = 54,378,657,607.10

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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.