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Finding the Third Proportional to 14,277,940 and 21,448,561

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Solution

The third proportional to 14,277,940 and 21,448,561 is: 32,220,388.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,277,940 : 21,448,561 = 21,448,561 : x
  2. Step 2: Convert to fraction form
    14,277,940/21,448,561 = 21,448,561/x
  3. Step 3: Cross multiply
    14,277,940x = 21,448,561 × 21,448,561
  4. Step 4: Simplify right side
    14,277,940x = 460,040,768,970,721
  5. Step 5: Solve for x
    x = 460,040,768,970,721/14,277,940
  6. Step 6: Final answer
    x = 32,220,388.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.