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Finding the Third Proportional to 6,780,180 and 10,231,410

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Solution

The third proportional to 6,780,180 and 10,231,410 is: 15,439,376.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,780,180 : 10,231,410 = 10,231,410 : x
  2. Step 2: Convert to fraction form
    6,780,180/10,231,410 = 10,231,410/x
  3. Step 3: Cross multiply
    6,780,180x = 10,231,410 × 10,231,410
  4. Step 4: Simplify right side
    6,780,180x = 104,681,750,588,100
  5. Step 5: Solve for x
    x = 104,681,750,588,100/6,780,180
  6. Step 6: Final answer
    x = 15,439,376.33

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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.