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Finding the Third Proportional to 10,422,055.69 and 22,638,223.69

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Solution

The third proportional to 10,422,055.69 and 22,638,223.69 is: 49,173,520.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,422,055.69 : 22,638,223.69 = 22,638,223.69 : x
  2. Step 2: Convert to fraction form
    10,422,055.69/22,638,223.69 = 22,638,223.69/x
  3. Step 3: Cross multiply
    10,422,055.69x = 22,638,223.69 × 22,638,223.69
  4. Step 4: Simplify right side
    10,422,055.69x = 512,489,171,725,286.12
  5. Step 5: Solve for x
    x = 512,489,171,725,286.12/10,422,055.69
  6. Step 6: Final answer
    x = 49,173,520.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.