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Finding the Third Proportional to 6,193,608 and 12,954,864

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Solution

The third proportional to 6,193,608 and 12,954,864 is: 27,097,049.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,193,608 : 12,954,864 = 12,954,864 : x
  2. Step 2: Convert to fraction form
    6,193,608/12,954,864 = 12,954,864/x
  3. Step 3: Cross multiply
    6,193,608x = 12,954,864 × 12,954,864
  4. Step 4: Simplify right side
    6,193,608x = 167,828,501,258,496
  5. Step 5: Solve for x
    x = 167,828,501,258,496/6,193,608
  6. Step 6: Final answer
    x = 27,097,049.29

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.