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Finding the Third Proportional to 10,177,424 and 21,949,126

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Solution

The third proportional to 10,177,424 and 21,949,126 is: 47,336,549.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,177,424 : 21,949,126 = 21,949,126 : x
  2. Step 2: Convert to fraction form
    10,177,424/21,949,126 = 21,949,126/x
  3. Step 3: Cross multiply
    10,177,424x = 21,949,126 × 21,949,126
  4. Step 4: Simplify right side
    10,177,424x = 481,764,132,163,876
  5. Step 5: Solve for x
    x = 481,764,132,163,876/10,177,424
  6. Step 6: Final answer
    x = 47,336,549.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.