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Finding the Third Proportional to 27,247,730 and 45,411,067

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Solution

The third proportional to 27,247,730 and 45,411,067 is: 75,682,084.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,247,730 : 45,411,067 = 45,411,067 : x
  2. Step 2: Convert to fraction form
    27,247,730/45,411,067 = 45,411,067/x
  3. Step 3: Cross multiply
    27,247,730x = 45,411,067 × 45,411,067
  4. Step 4: Simplify right side
    27,247,730x = 2,062,165,006,078,489
  5. Step 5: Solve for x
    x = 2,062,165,006,078,489/27,247,730
  6. Step 6: Final answer
    x = 75,682,084.57

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.