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Finding the Third Proportional to 2,184,370,268 and 4,813,984,761

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Solution

The third proportional to 2,184,370,268 and 4,813,984,761 is: 10,609,212,924.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,184,370,268 : 4,813,984,761 = 4,813,984,761 : x
  2. Step 2: Convert to fraction form
    2,184,370,268/4,813,984,761 = 4,813,984,761/x
  3. Step 3: Cross multiply
    2,184,370,268x = 4,813,984,761 × 4,813,984,761
  4. Step 4: Simplify right side
    2,184,370,268x = 23,174,449,279,140,229,120
  5. Step 5: Solve for x
    x = 23,174,449,279,140,229,120/2,184,370,268
  6. Step 6: Final answer
    x = 10,609,212,924.49

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.