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Finding the Third Proportional to 2,432,504,016 and 5,310,887,049

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Solution

The third proportional to 2,432,504,016 and 5,310,887,049 is: 11,595,261,944.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,432,504,016 : 5,310,887,049 = 5,310,887,049 : x
  2. Step 2: Convert to fraction form
    2,432,504,016/5,310,887,049 = 5,310,887,049/x
  3. Step 3: Cross multiply
    2,432,504,016x = 5,310,887,049 × 5,310,887,049
  4. Step 4: Simplify right side
    2,432,504,016x = 28,205,521,247,235,928,064
  5. Step 5: Solve for x
    x = 28,205,521,247,235,928,064/2,432,504,016
  6. Step 6: Final answer
    x = 11,595,261,944.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.