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Finding the Third Proportional to 4,640,027.50 and 7,019,750

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Solution

The third proportional to 4,640,027.50 and 7,019,750 is: 10,619,956.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,640,027.50 : 7,019,750 = 7,019,750 : x
  2. Step 2: Convert to fraction form
    4,640,027.50/7,019,750 = 7,019,750/x
  3. Step 3: Cross multiply
    4,640,027.50x = 7,019,750 × 7,019,750
  4. Step 4: Simplify right side
    4,640,027.50x = 49,276,890,062,500
  5. Step 5: Solve for x
    x = 49,276,890,062,500/4,640,027.50
  6. Step 6: Final answer
    x = 10,619,956.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.