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Finding the Third Proportional to 4,188,429 and 6,720,003

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Solution

The third proportional to 4,188,429 and 6,720,003 is: 10,781,713.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,188,429 : 6,720,003 = 6,720,003 : x
  2. Step 2: Convert to fraction form
    4,188,429/6,720,003 = 6,720,003/x
  3. Step 3: Cross multiply
    4,188,429x = 6,720,003 × 6,720,003
  4. Step 4: Simplify right side
    4,188,429x = 45,158,440,320,009
  5. Step 5: Solve for x
    x = 45,158,440,320,009/4,188,429
  6. Step 6: Final answer
    x = 10,781,713.22

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.