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Finding the Third Proportional to 3,023,083,229,796 and 6,662,367,117,504

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Solution

The third proportional to 3,023,083,229,796 and 6,662,367,117,504 is: 14,682,736,873,041.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,023,083,229,796 : 6,662,367,117,504 = 6,662,367,117,504 : x
  2. Step 2: Convert to fraction form
    3,023,083,229,796/6,662,367,117,504 = 6,662,367,117,504/x
  3. Step 3: Cross multiply
    3,023,083,229,796x = 6,662,367,117,504 × 6,662,367,117,504
  4. Step 4: Simplify right side
    3,023,083,229,796x = 44,387,135,608,398,556,505,833,472
  5. Step 5: Solve for x
    x = 44,387,135,608,398,556,505,833,472/3,023,083,229,796
  6. Step 6: Final answer
    x = 14,682,736,873,041.31

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.