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Finding the Third Proportional to 2,432,504,024 and 5,310,887,068

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Solution

The third proportional to 2,432,504,024 and 5,310,887,068 is: 11,595,261,989.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,432,504,024 : 5,310,887,068 = 5,310,887,068 : x
  2. Step 2: Convert to fraction form
    2,432,504,024/5,310,887,068 = 5,310,887,068/x
  3. Step 3: Cross multiply
    2,432,504,024x = 5,310,887,068 × 5,310,887,068
  4. Step 4: Simplify right side
    2,432,504,024x = 28,205,521,449,049,636,864
  5. Step 5: Solve for x
    x = 28,205,521,449,049,636,864/2,432,504,024
  6. Step 6: Final answer
    x = 11,595,261,989.61

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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.