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Finding the Third Proportional to 5,831,836 and 12,622,136

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Solution

The third proportional to 5,831,836 and 12,622,136 is: 27,318,723.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,831,836 : 12,622,136 = 12,622,136 : x
  2. Step 2: Convert to fraction form
    5,831,836/12,622,136 = 12,622,136/x
  3. Step 3: Cross multiply
    5,831,836x = 12,622,136 × 12,622,136
  4. Step 4: Simplify right side
    5,831,836x = 159,318,317,202,496
  5. Step 5: Solve for x
    x = 159,318,317,202,496/5,831,836
  6. Step 6: Final answer
    x = 27,318,723.85

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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.