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Finding the Third Proportional to 5,179,523 and 8,125,143

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Solution

The third proportional to 5,179,523 and 8,125,143 is: 12,745,951.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,179,523 : 8,125,143 = 8,125,143 : x
  2. Step 2: Convert to fraction form
    5,179,523/8,125,143 = 8,125,143/x
  3. Step 3: Cross multiply
    5,179,523x = 8,125,143 × 8,125,143
  4. Step 4: Simplify right side
    5,179,523x = 66,017,948,770,449
  5. Step 5: Solve for x
    x = 66,017,948,770,449/5,179,523
  6. Step 6: Final answer
    x = 12,745,951.47

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.