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Finding the Third Proportional to 15,979,824 and 24,715,512

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Solution

The third proportional to 15,979,824 and 24,715,512 is: 38,226,737.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,979,824 : 24,715,512 = 24,715,512 : x
  2. Step 2: Convert to fraction form
    15,979,824/24,715,512 = 24,715,512/x
  3. Step 3: Cross multiply
    15,979,824x = 24,715,512 × 24,715,512
  4. Step 4: Simplify right side
    15,979,824x = 610,856,533,422,144
  5. Step 5: Solve for x
    x = 610,856,533,422,144/15,979,824
  6. Step 6: Final answer
    x = 38,226,737.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.