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Finding the Third Proportional to 2,179,418,466 and 3,383,963,667

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Solution

The third proportional to 2,179,418,466 and 3,383,963,667 is: 5,254,250,286.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,179,418,466 : 3,383,963,667 = 3,383,963,667 : x
  2. Step 2: Convert to fraction form
    2,179,418,466/3,383,963,667 = 3,383,963,667/x
  3. Step 3: Cross multiply
    2,179,418,466x = 3,383,963,667 × 3,383,963,667
  4. Step 4: Simplify right side
    2,179,418,466x = 11,451,210,099,576,086,528
  5. Step 5: Solve for x
    x = 11,451,210,099,576,086,528/2,179,418,466
  6. Step 6: Final answer
    x = 5,254,250,286.59

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.