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Finding the Third Proportional to 6,954,533 and 10,638,334

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Solution

The third proportional to 6,954,533 and 10,638,334 is: 16,273,436.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,954,533 : 10,638,334 = 10,638,334 : x
  2. Step 2: Convert to fraction form
    6,954,533/10,638,334 = 10,638,334/x
  3. Step 3: Cross multiply
    6,954,533x = 10,638,334 × 10,638,334
  4. Step 4: Simplify right side
    6,954,533x = 113,174,150,295,556
  5. Step 5: Solve for x
    x = 113,174,150,295,556/6,954,533
  6. Step 6: Final answer
    x = 16,273,436.38

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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.