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Finding the Third Proportional to 6,162,696 and 13,741,596

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Solution

The third proportional to 6,162,696 and 13,741,596 is: 30,641,047.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,162,696 : 13,741,596 = 13,741,596 : x
  2. Step 2: Convert to fraction form
    6,162,696/13,741,596 = 13,741,596/x
  3. Step 3: Cross multiply
    6,162,696x = 13,741,596 × 13,741,596
  4. Step 4: Simplify right side
    6,162,696x = 188,831,460,627,216
  5. Step 5: Solve for x
    x = 188,831,460,627,216/6,162,696
  6. Step 6: Final answer
    x = 30,641,047.46

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.