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Finding the Third Proportional to 2,523,618,069 and 5,522,167,249

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Solution

The third proportional to 2,523,618,069 and 5,522,167,249 is: 12,083,576,156.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,523,618,069 : 5,522,167,249 = 5,522,167,249 : x
  2. Step 2: Convert to fraction form
    2,523,618,069/5,522,167,249 = 5,522,167,249/x
  3. Step 3: Cross multiply
    2,523,618,069x = 5,522,167,249 × 5,522,167,249
  4. Step 4: Simplify right side
    2,523,618,069x = 30,494,331,125,928,226,816
  5. Step 5: Solve for x
    x = 30,494,331,125,928,226,816/2,523,618,069
  6. Step 6: Final answer
    x = 12,083,576,156.20

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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.