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Finding the Third Proportional to 8,261,289 and 17,895,042

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Solution

The third proportional to 8,261,289 and 17,895,042 is: 38,763,022.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,261,289 : 17,895,042 = 17,895,042 : x
  2. Step 2: Convert to fraction form
    8,261,289/17,895,042 = 17,895,042/x
  3. Step 3: Cross multiply
    8,261,289x = 17,895,042 × 17,895,042
  4. Step 4: Simplify right side
    8,261,289x = 320,232,528,181,764
  5. Step 5: Solve for x
    x = 320,232,528,181,764/8,261,289
  6. Step 6: Final answer
    x = 38,763,022.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.