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Finding the Third Proportional to 3,977,459,496 and 5,530,340,916

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Solution

The third proportional to 3,977,459,496 and 5,530,340,916 is: 7,689,498,957.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,977,459,496 : 5,530,340,916 = 5,530,340,916 : x
  2. Step 2: Convert to fraction form
    3,977,459,496/5,530,340,916 = 5,530,340,916/x
  3. Step 3: Cross multiply
    3,977,459,496x = 5,530,340,916 × 5,530,340,916
  4. Step 4: Simplify right side
    3,977,459,496x = 30,584,670,647,183,720,448
  5. Step 5: Solve for x
    x = 30,584,670,647,183,720,448/3,977,459,496
  6. Step 6: Final answer
    x = 7,689,498,957.30

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.