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Finding the Third Proportional to 12,382,640 and 18,761,232

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Solution

The third proportional to 12,382,640 and 18,761,232 is: 28,425,588.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,382,640 : 18,761,232 = 18,761,232 : x
  2. Step 2: Convert to fraction form
    12,382,640/18,761,232 = 18,761,232/x
  3. Step 3: Cross multiply
    12,382,640x = 18,761,232 × 18,761,232
  4. Step 4: Simplify right side
    12,382,640x = 351,983,826,157,824
  5. Step 5: Solve for x
    x = 351,983,826,157,824/12,382,640
  6. Step 6: Final answer
    x = 28,425,588.26

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.