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Finding the Third Proportional to 10,481,280 and 22,222,256

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Solution

The third proportional to 10,481,280 and 22,222,256 is: 47,115,300.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,481,280 : 22,222,256 = 22,222,256 : x
  2. Step 2: Convert to fraction form
    10,481,280/22,222,256 = 22,222,256/x
  3. Step 3: Cross multiply
    10,481,280x = 22,222,256 × 22,222,256
  4. Step 4: Simplify right side
    10,481,280x = 493,828,661,729,536
  5. Step 5: Solve for x
    x = 493,828,661,729,536/10,481,280
  6. Step 6: Final answer
    x = 47,115,300.97

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.