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Finding the Third Proportional to 8,181,941 and 17,800,411

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Solution

The third proportional to 8,181,941 and 17,800,411 is: 38,726,095.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,181,941 : 17,800,411 = 17,800,411 : x
  2. Step 2: Convert to fraction form
    8,181,941/17,800,411 = 17,800,411/x
  3. Step 3: Cross multiply
    8,181,941x = 17,800,411 × 17,800,411
  4. Step 4: Simplify right side
    8,181,941x = 316,854,631,768,921
  5. Step 5: Solve for x
    x = 316,854,631,768,921/8,181,941
  6. Step 6: Final answer
    x = 38,726,095.89

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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.