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Finding the Third Proportional to 6,414,250 and 13,831,104

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Solution

The third proportional to 6,414,250 and 13,831,104 is: 29,824,131.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,414,250 : 13,831,104 = 13,831,104 : x
  2. Step 2: Convert to fraction form
    6,414,250/13,831,104 = 13,831,104/x
  3. Step 3: Cross multiply
    6,414,250x = 13,831,104 × 13,831,104
  4. Step 4: Simplify right side
    6,414,250x = 191,299,437,858,816
  5. Step 5: Solve for x
    x = 191,299,437,858,816/6,414,250
  6. Step 6: Final answer
    x = 29,824,131.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.