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Finding the Third Proportional to 25,684,142,625 and 56,419,100,514

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Solution

The third proportional to 25,684,142,625 and 56,419,100,514 is: 123,933,080,005.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,684,142,625 : 56,419,100,514 = 56,419,100,514 : x
  2. Step 2: Convert to fraction form
    25,684,142,625/56,419,100,514 = 56,419,100,514/x
  3. Step 3: Cross multiply
    25,684,142,625x = 56,419,100,514 × 56,419,100,514
  4. Step 4: Simplify right side
    25,684,142,625x = 3,183,114,902,808,834,867,200
  5. Step 5: Solve for x
    x = 3,183,114,902,808,834,867,200/25,684,142,625
  6. Step 6: Final answer
    x = 123,933,080,005.19

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Why These Related Problems?

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