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Finding the Third Proportional to 2,523,383,970 and 5,522,462,792

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Solution

The third proportional to 2,523,383,970 and 5,522,462,792 is: 12,085,990,737.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,523,383,970 : 5,522,462,792 = 5,522,462,792 : x
  2. Step 2: Convert to fraction form
    2,523,383,970/5,522,462,792 = 5,522,462,792/x
  3. Step 3: Cross multiply
    2,523,383,970x = 5,522,462,792 × 5,522,462,792
  4. Step 4: Simplify right side
    2,523,383,970x = 30,497,595,289,024,434,176
  5. Step 5: Solve for x
    x = 30,497,595,289,024,434,176/2,523,383,970
  6. Step 6: Final answer
    x = 12,085,990,737.68

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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.