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Finding the Third Proportional to 1,594,969,361,702 and 3,431,845,280,023

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Solution

The third proportional to 1,594,969,361,702 and 3,431,845,280,023 is: 7,384,193,269,674

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,594,969,361,702 : 3,431,845,280,023 = 3,431,845,280,023 : x
  2. Step 2: Convert to fraction form
    1,594,969,361,702/3,431,845,280,023 = 3,431,845,280,023/x
  3. Step 3: Cross multiply
    1,594,969,361,702x = 3,431,845,280,023 × 3,431,845,280,023
  4. Step 4: Simplify right side
    1,594,969,361,702x = 11,777,562,026,016,143,367,471,104
  5. Step 5: Solve for x
    x = 11,777,562,026,016,143,367,471,104/1,594,969,361,702
  6. Step 6: Final answer
    x = 7,384,193,269,674

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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.