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Finding the Third Proportional to 6,821,802 and 14,778,869

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Solution

The third proportional to 6,821,802 and 14,778,869 is: 32,017,195.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,821,802 : 14,778,869 = 14,778,869 : x
  2. Step 2: Convert to fraction form
    6,821,802/14,778,869 = 14,778,869/x
  3. Step 3: Cross multiply
    6,821,802x = 14,778,869 × 14,778,869
  4. Step 4: Simplify right side
    6,821,802x = 218,414,968,919,161
  5. Step 5: Solve for x
    x = 218,414,968,919,161/6,821,802
  6. Step 6: Final answer
    x = 32,017,195.59

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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.