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Finding the Third Proportional to 6,305,351 and 13,577,748

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Solution

The third proportional to 6,305,351 and 13,577,748 is: 29,237,902.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,305,351 : 13,577,748 = 13,577,748 : x
  2. Step 2: Convert to fraction form
    6,305,351/13,577,748 = 13,577,748/x
  3. Step 3: Cross multiply
    6,305,351x = 13,577,748 × 13,577,748
  4. Step 4: Simplify right side
    6,305,351x = 184,355,240,751,504
  5. Step 5: Solve for x
    x = 184,355,240,751,504/6,305,351
  6. Step 6: Final answer
    x = 29,237,902.97

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.