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Finding the Third Proportional to 2,618,417,532 and 3,923,796,084

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Solution

The third proportional to 2,618,417,532 and 3,923,796,084 is: 5,879,954,407.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,618,417,532 : 3,923,796,084 = 3,923,796,084 : x
  2. Step 2: Convert to fraction form
    2,618,417,532/3,923,796,084 = 3,923,796,084/x
  3. Step 3: Cross multiply
    2,618,417,532x = 3,923,796,084 × 3,923,796,084
  4. Step 4: Simplify right side
    2,618,417,532x = 15,396,175,708,813,735,936
  5. Step 5: Solve for x
    x = 15,396,175,708,813,735,936/2,618,417,532
  6. Step 6: Final answer
    x = 5,879,954,407.83

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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.