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Finding the Third Proportional to 15,682,569 and 33,971,520

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Solution

The third proportional to 15,682,569 and 33,971,520 is: 73,588,974.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,682,569 : 33,971,520 = 33,971,520 : x
  2. Step 2: Convert to fraction form
    15,682,569/33,971,520 = 33,971,520/x
  3. Step 3: Cross multiply
    15,682,569x = 33,971,520 × 33,971,520
  4. Step 4: Simplify right side
    15,682,569x = 1,154,064,171,110,400
  5. Step 5: Solve for x
    x = 1,154,064,171,110,400/15,682,569
  6. Step 6: Final answer
    x = 73,588,974.56

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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.