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Finding the Third Proportional to 6,691,968 and 10,100,736

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Solution

The third proportional to 6,691,968 and 10,100,736 is: 15,245,869.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,691,968 : 10,100,736 = 10,100,736 : x
  2. Step 2: Convert to fraction form
    6,691,968/10,100,736 = 10,100,736/x
  3. Step 3: Cross multiply
    6,691,968x = 10,100,736 × 10,100,736
  4. Step 4: Simplify right side
    6,691,968x = 102,024,867,741,696
  5. Step 5: Solve for x
    x = 102,024,867,741,696/6,691,968
  6. Step 6: Final answer
    x = 15,245,869.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.