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Finding the Third Proportional to 8,205,799 and 17,856,476

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Solution

The third proportional to 8,205,799 and 17,856,476 is: 38,857,122.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,205,799 : 17,856,476 = 17,856,476 : x
  2. Step 2: Convert to fraction form
    8,205,799/17,856,476 = 17,856,476/x
  3. Step 3: Cross multiply
    8,205,799x = 17,856,476 × 17,856,476
  4. Step 4: Simplify right side
    8,205,799x = 318,853,735,138,576
  5. Step 5: Solve for x
    x = 318,853,735,138,576/8,205,799
  6. Step 6: Final answer
    x = 38,857,122.28

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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.