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Finding the Third Proportional to 14,100,489 and 19,024,884

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Solution

The third proportional to 14,100,489 and 19,024,884 is: 25,669,053.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,100,489 : 19,024,884 = 19,024,884 : x
  2. Step 2: Convert to fraction form
    14,100,489/19,024,884 = 19,024,884/x
  3. Step 3: Cross multiply
    14,100,489x = 19,024,884 × 19,024,884
  4. Step 4: Simplify right side
    14,100,489x = 361,946,211,213,456
  5. Step 5: Solve for x
    x = 361,946,211,213,456/14,100,489
  6. Step 6: Final answer
    x = 25,669,053.83

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.