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Finding the Third Proportional to 2,184,370,284.75 and 4,813,984,794

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Solution

The third proportional to 2,184,370,284.75 and 4,813,984,794 is: 10,609,212,988.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,184,370,284.75 : 4,813,984,794 = 4,813,984,794 : x
  2. Step 2: Convert to fraction form
    2,184,370,284.75/4,813,984,794 = 4,813,984,794/x
  3. Step 3: Cross multiply
    2,184,370,284.75x = 4,813,984,794 × 4,813,984,794
  4. Step 4: Simplify right side
    2,184,370,284.75x = 23,174,449,596,863,221,760
  5. Step 5: Solve for x
    x = 23,174,449,596,863,221,760/2,184,370,284.75
  6. Step 6: Final answer
    x = 10,609,212,988.59

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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.