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Finding the Third Proportional to 6,954,608 and 10,638,431

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Solution

The third proportional to 6,954,608 and 10,638,431 is: 16,273,557.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,954,608 : 10,638,431 = 10,638,431 : x
  2. Step 2: Convert to fraction form
    6,954,608/10,638,431 = 10,638,431/x
  3. Step 3: Cross multiply
    6,954,608x = 10,638,431 × 10,638,431
  4. Step 4: Simplify right side
    6,954,608x = 113,176,214,141,761
  5. Step 5: Solve for x
    x = 113,176,214,141,761/6,954,608
  6. Step 6: Final answer
    x = 16,273,557.64

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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.