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Finding the Third Proportional to 52,892,676 and 80,138,953.13

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Solution

The third proportional to 52,892,676 and 80,138,953.13 is: 121,420,436.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,892,676 : 80,138,953.13 = 80,138,953.13 : x
  2. Step 2: Convert to fraction form
    52,892,676/80,138,953.13 = 80,138,953.13/x
  3. Step 3: Cross multiply
    52,892,676x = 80,138,953.13 × 80,138,953.13
  4. Step 4: Simplify right side
    52,892,676x = 6,422,251,807,970,947
  5. Step 5: Solve for x
    x = 6,422,251,807,970,947/52,892,676
  6. Step 6: Final answer
    x = 121,420,436.51

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.