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Finding the Third Proportional to 6,821,804 and 14,778,874

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Solution

The third proportional to 6,821,804 and 14,778,874 is: 32,017,207.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,821,804 : 14,778,874 = 14,778,874 : x
  2. Step 2: Convert to fraction form
    6,821,804/14,778,874 = 14,778,874/x
  3. Step 3: Cross multiply
    6,821,804x = 14,778,874 × 14,778,874
  4. Step 4: Simplify right side
    6,821,804x = 218,415,116,707,876
  5. Step 5: Solve for x
    x = 218,415,116,707,876/6,821,804
  6. Step 6: Final answer
    x = 32,017,207.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.