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Finding the Third Proportional to 13,828,768 and 20,933,936

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Solution

The third proportional to 13,828,768 and 20,933,936 is: 31,689,712.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,828,768 : 20,933,936 = 20,933,936 : x
  2. Step 2: Convert to fraction form
    13,828,768/20,933,936 = 20,933,936/x
  3. Step 3: Cross multiply
    13,828,768x = 20,933,936 × 20,933,936
  4. Step 4: Simplify right side
    13,828,768x = 438,229,676,452,096
  5. Step 5: Solve for x
    x = 438,229,676,452,096/13,828,768
  6. Step 6: Final answer
    x = 31,689,712.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.