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Finding the Third Proportional to 2,184,370,287 and 4,813,984,798

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Solution

The third proportional to 2,184,370,287 and 4,813,984,798 is: 10,609,212,995.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,184,370,287 : 4,813,984,798 = 4,813,984,798 : x
  2. Step 2: Convert to fraction form
    2,184,370,287/4,813,984,798 = 4,813,984,798/x
  3. Step 3: Cross multiply
    2,184,370,287x = 4,813,984,798 × 4,813,984,798
  4. Step 4: Simplify right side
    2,184,370,287x = 23,174,449,635,375,099,904
  5. Step 5: Solve for x
    x = 23,174,449,635,375,099,904/2,184,370,287
  6. Step 6: Final answer
    x = 10,609,212,995.29

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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.