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Finding the Third Proportional to 5,258,702.25 and 8,220,204

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Solution

The third proportional to 5,258,702.25 and 8,220,204 is: 12,849,511.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,258,702.25 : 8,220,204 = 8,220,204 : x
  2. Step 2: Convert to fraction form
    5,258,702.25/8,220,204 = 8,220,204/x
  3. Step 3: Cross multiply
    5,258,702.25x = 8,220,204 × 8,220,204
  4. Step 4: Simplify right side
    5,258,702.25x = 67,571,753,801,616
  5. Step 5: Solve for x
    x = 67,571,753,801,616/5,258,702.25
  6. Step 6: Final answer
    x = 12,849,511.27

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.