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Finding the Third Proportional to 6,301,896 and 13,744,464

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Solution

The third proportional to 6,301,896 and 13,744,464 is: 29,976,738.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,301,896 : 13,744,464 = 13,744,464 : x
  2. Step 2: Convert to fraction form
    6,301,896/13,744,464 = 13,744,464/x
  3. Step 3: Cross multiply
    6,301,896x = 13,744,464 × 13,744,464
  4. Step 4: Simplify right side
    6,301,896x = 188,910,290,647,296
  5. Step 5: Solve for x
    x = 188,910,290,647,296/6,301,896
  6. Step 6: Final answer
    x = 29,976,738.85

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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.