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Finding the Third Proportional to 7,818,884 and 16,284,930.75

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Solution

The third proportional to 7,818,884 and 16,284,930.75 is: 33,917,752.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,818,884 : 16,284,930.75 = 16,284,930.75 : x
  2. Step 2: Convert to fraction form
    7,818,884/16,284,930.75 = 16,284,930.75/x
  3. Step 3: Cross multiply
    7,818,884x = 16,284,930.75 × 16,284,930.75
  4. Step 4: Simplify right side
    7,818,884x = 265,198,969,532,295.56
  5. Step 5: Solve for x
    x = 265,198,969,532,295.56/7,818,884
  6. Step 6: Final answer
    x = 33,917,752.14

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.