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Finding the Third Proportional to 6,238,150 and 13,650,286

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Solution

The third proportional to 6,238,150 and 13,650,286 is: 29,869,481.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,238,150 : 13,650,286 = 13,650,286 : x
  2. Step 2: Convert to fraction form
    6,238,150/13,650,286 = 13,650,286/x
  3. Step 3: Cross multiply
    6,238,150x = 13,650,286 × 13,650,286
  4. Step 4: Simplify right side
    6,238,150x = 186,330,307,881,796
  5. Step 5: Solve for x
    x = 186,330,307,881,796/6,238,150
  6. Step 6: Final answer
    x = 29,869,481.80

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.