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Finding the Third Proportional to 2,523,383,968 and 5,522,462,788

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Solution

The third proportional to 2,523,383,968 and 5,522,462,788 is: 12,085,990,729.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,523,383,968 : 5,522,462,788 = 5,522,462,788 : x
  2. Step 2: Convert to fraction form
    2,523,383,968/5,522,462,788 = 5,522,462,788/x
  3. Step 3: Cross multiply
    2,523,383,968x = 5,522,462,788 × 5,522,462,788
  4. Step 4: Simplify right side
    2,523,383,968x = 30,497,595,244,844,732,416
  5. Step 5: Solve for x
    x = 30,497,595,244,844,732,416/2,523,383,968
  6. Step 6: Final answer
    x = 12,085,990,729.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.