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Finding the Third Proportional to 6,821,804 and 14,778,873

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Solution

The third proportional to 6,821,804 and 14,778,873 is: 32,017,203.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,821,804 : 14,778,873 = 14,778,873 : x
  2. Step 2: Convert to fraction form
    6,821,804/14,778,873 = 14,778,873/x
  3. Step 3: Cross multiply
    6,821,804x = 14,778,873 × 14,778,873
  4. Step 4: Simplify right side
    6,821,804x = 218,415,087,150,129
  5. Step 5: Solve for x
    x = 218,415,087,150,129/6,821,804
  6. Step 6: Final answer
    x = 32,017,203.54

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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.