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Finding the Third Proportional to 17,945,728,458 and 39,268,744,815

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Solution

The third proportional to 17,945,728,458 and 39,268,744,815 is: 85,927,652,530.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,945,728,458 : 39,268,744,815 = 39,268,744,815 : x
  2. Step 2: Convert to fraction form
    17,945,728,458/39,268,744,815 = 39,268,744,815/x
  3. Step 3: Cross multiply
    17,945,728,458x = 39,268,744,815 × 39,268,744,815
  4. Step 4: Simplify right side
    17,945,728,458x = 1,542,034,319,345,589,420,032
  5. Step 5: Solve for x
    x = 1,542,034,319,345,589,420,032/17,945,728,458
  6. Step 6: Final answer
    x = 85,927,652,530.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.