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Finding the Third Proportional to 6,954,561 and 10,638,366

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Solution

The third proportional to 6,954,561 and 10,638,366 is: 16,273,468.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,954,561 : 10,638,366 = 10,638,366 : x
  2. Step 2: Convert to fraction form
    6,954,561/10,638,366 = 10,638,366/x
  3. Step 3: Cross multiply
    6,954,561x = 10,638,366 × 10,638,366
  4. Step 4: Simplify right side
    6,954,561x = 113,174,831,149,956
  5. Step 5: Solve for x
    x = 113,174,831,149,956/6,954,561
  6. Step 6: Final answer
    x = 16,273,468.76

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.