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Finding the Third Proportional to 2,863,647 and 6,175,413

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Solution

The third proportional to 2,863,647 and 6,175,413 is: 13,317,188.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,863,647 : 6,175,413 = 6,175,413 : x
  2. Step 2: Convert to fraction form
    2,863,647/6,175,413 = 6,175,413/x
  3. Step 3: Cross multiply
    2,863,647x = 6,175,413 × 6,175,413
  4. Step 4: Simplify right side
    2,863,647x = 38,135,725,720,569
  5. Step 5: Solve for x
    x = 38,135,725,720,569/2,863,647
  6. Step 6: Final answer
    x = 13,317,188.09

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.