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Finding the Third Proportional to 6,954,711 and 10,638,588

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Solution

The third proportional to 6,954,711 and 10,638,588 is: 16,273,796.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,954,711 : 10,638,588 = 10,638,588 : x
  2. Step 2: Convert to fraction form
    6,954,711/10,638,588 = 10,638,588/x
  3. Step 3: Cross multiply
    6,954,711x = 10,638,588 × 10,638,588
  4. Step 4: Simplify right side
    6,954,711x = 113,179,554,633,744
  5. Step 5: Solve for x
    x = 113,179,554,633,744/6,954,711
  6. Step 6: Final answer
    x = 16,273,796.95

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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.