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Finding the Third Proportional to 14,481,520 and 21,856,949

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Solution

The third proportional to 14,481,520 and 21,856,949 is: 32,988,679.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,481,520 : 21,856,949 = 21,856,949 : x
  2. Step 2: Convert to fraction form
    14,481,520/21,856,949 = 21,856,949/x
  3. Step 3: Cross multiply
    14,481,520x = 21,856,949 × 21,856,949
  4. Step 4: Simplify right side
    14,481,520x = 477,726,219,588,601
  5. Step 5: Solve for x
    x = 477,726,219,588,601/14,481,520
  6. Step 6: Final answer
    x = 32,988,679.34

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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.