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Finding the Third Proportional to 10,422,033.19 and 22,638,178.69

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Solution

The third proportional to 10,422,033.19 and 22,638,178.69 is: 49,173,431.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,422,033.19 : 22,638,178.69 = 22,638,178.69 : x
  2. Step 2: Convert to fraction form
    10,422,033.19/22,638,178.69 = 22,638,178.69/x
  3. Step 3: Cross multiply
    10,422,033.19x = 22,638,178.69 × 22,638,178.69
  4. Step 4: Simplify right side
    10,422,033.19x = 512,487,134,287,179.25
  5. Step 5: Solve for x
    x = 512,487,134,287,179.25/10,422,033.19
  6. Step 6: Final answer
    x = 49,173,431.43

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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.