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Finding the Third Proportional to 6,823,458 and 15,011,608.50

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Solution

The third proportional to 6,823,458 and 15,011,608.50 is: 33,025,540.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,823,458 : 15,011,608.50 = 15,011,608.50 : x
  2. Step 2: Convert to fraction form
    6,823,458/15,011,608.50 = 15,011,608.50/x
  3. Step 3: Cross multiply
    6,823,458x = 15,011,608.50 × 15,011,608.50
  4. Step 4: Simplify right side
    6,823,458x = 225,348,389,757,272.25
  5. Step 5: Solve for x
    x = 225,348,389,757,272.25/6,823,458
  6. Step 6: Final answer
    x = 33,025,540.68

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.