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Finding the Third Proportional to 260,006,823,183 and 527,324,446,158

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Solution

The third proportional to 260,006,823,183 and 527,324,446,158 is: 1,069,476,054,942.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,006,823,183 : 527,324,446,158 = 527,324,446,158 : x
  2. Step 2: Convert to fraction form
    260,006,823,183/527,324,446,158 = 527,324,446,158/x
  3. Step 3: Cross multiply
    260,006,823,183x = 527,324,446,158 × 527,324,446,158
  4. Step 4: Simplify right side
    260,006,823,183x = 278,071,071,515,841,451,261,952
  5. Step 5: Solve for x
    x = 278,071,071,515,841,451,261,952/260,006,823,183
  6. Step 6: Final answer
    x = 1,069,476,054,942.32

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.