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Finding the Third Proportional to 6,414,252 and 13,831,108

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Solution

The third proportional to 6,414,252 and 13,831,108 is: 29,824,139.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,414,252 : 13,831,108 = 13,831,108 : x
  2. Step 2: Convert to fraction form
    6,414,252/13,831,108 = 13,831,108/x
  3. Step 3: Cross multiply
    6,414,252x = 13,831,108 × 13,831,108
  4. Step 4: Simplify right side
    6,414,252x = 191,299,548,507,664
  5. Step 5: Solve for x
    x = 191,299,548,507,664/6,414,252
  6. Step 6: Final answer
    x = 29,824,139.82

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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.