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Finding the Third Proportional to 6,218,928 and 13,456,512

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Solution

The third proportional to 6,218,928 and 13,456,512 is: 29,117,191.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,218,928 : 13,456,512 = 13,456,512 : x
  2. Step 2: Convert to fraction form
    6,218,928/13,456,512 = 13,456,512/x
  3. Step 3: Cross multiply
    6,218,928x = 13,456,512 × 13,456,512
  4. Step 4: Simplify right side
    6,218,928x = 181,077,715,206,144
  5. Step 5: Solve for x
    x = 181,077,715,206,144/6,218,928
  6. Step 6: Final answer
    x = 29,117,191.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.