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Finding the Third Proportional to 12,533,408 and 27,487,744

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Solution

The third proportional to 12,533,408 and 27,487,744 is: 60,284,965.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,533,408 : 27,487,744 = 27,487,744 : x
  2. Step 2: Convert to fraction form
    12,533,408/27,487,744 = 27,487,744/x
  3. Step 3: Cross multiply
    12,533,408x = 27,487,744 × 27,487,744
  4. Step 4: Simplify right side
    12,533,408x = 755,576,070,209,536
  5. Step 5: Solve for x
    x = 755,576,070,209,536/12,533,408
  6. Step 6: Final answer
    x = 60,284,965.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.