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Finding the Third Proportional to 6,469,938 and 13,848,714

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Solution

The third proportional to 6,469,938 and 13,848,714 is: 29,642,769.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,469,938 : 13,848,714 = 13,848,714 : x
  2. Step 2: Convert to fraction form
    6,469,938/13,848,714 = 13,848,714/x
  3. Step 3: Cross multiply
    6,469,938x = 13,848,714 × 13,848,714
  4. Step 4: Simplify right side
    6,469,938x = 191,786,879,453,796
  5. Step 5: Solve for x
    x = 191,786,879,453,796/6,469,938
  6. Step 6: Final answer
    x = 29,642,769.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.