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Finding the Third Proportional to 8,205,984 and 17,856,873

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Solution

The third proportional to 8,205,984 and 17,856,873 is: 38,857,974.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,205,984 : 17,856,873 = 17,856,873 : x
  2. Step 2: Convert to fraction form
    8,205,984/17,856,873 = 17,856,873/x
  3. Step 3: Cross multiply
    8,205,984x = 17,856,873 × 17,856,873
  4. Step 4: Simplify right side
    8,205,984x = 318,867,913,338,129
  5. Step 5: Solve for x
    x = 318,867,913,338,129/8,205,984
  6. Step 6: Final answer
    x = 38,857,974.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.