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Finding the Third Proportional to 8,266,411 and 17,516,198

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Solution

The third proportional to 8,266,411 and 17,516,198 is: 37,116,130.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,266,411 : 17,516,198 = 17,516,198 : x
  2. Step 2: Convert to fraction form
    8,266,411/17,516,198 = 17,516,198/x
  3. Step 3: Cross multiply
    8,266,411x = 17,516,198 × 17,516,198
  4. Step 4: Simplify right side
    8,266,411x = 306,817,192,375,204
  5. Step 5: Solve for x
    x = 306,817,192,375,204/8,266,411
  6. Step 6: Final answer
    x = 37,116,130.85

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.