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Finding the Third Proportional to 2,618,417,529 and 3,923,796,080.25

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Solution

The third proportional to 2,618,417,529 and 3,923,796,080.25 is: 5,879,954,403.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,618,417,529 : 3,923,796,080.25 = 3,923,796,080.25 : x
  2. Step 2: Convert to fraction form
    2,618,417,529/3,923,796,080.25 = 3,923,796,080.25/x
  3. Step 3: Cross multiply
    2,618,417,529x = 3,923,796,080.25 × 3,923,796,080.25
  4. Step 4: Simplify right side
    2,618,417,529x = 15,396,175,679,385,264,128
  5. Step 5: Solve for x
    x = 15,396,175,679,385,264,128/2,618,417,529
  6. Step 6: Final answer
    x = 5,879,954,403.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.