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Finding the Third Proportional to 6,135,134 and 13,347,640

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Solution

The third proportional to 6,135,134 and 13,347,640 is: 29,039,217.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,135,134 : 13,347,640 = 13,347,640 : x
  2. Step 2: Convert to fraction form
    6,135,134/13,347,640 = 13,347,640/x
  3. Step 3: Cross multiply
    6,135,134x = 13,347,640 × 13,347,640
  4. Step 4: Simplify right side
    6,135,134x = 178,159,493,569,600
  5. Step 5: Solve for x
    x = 178,159,493,569,600/6,135,134
  6. Step 6: Final answer
    x = 29,039,217.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.