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Finding the Third Proportional to 15,672,380 and 24,217,824

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Solution

The third proportional to 15,672,380 and 24,217,824 is: 37,422,714.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,672,380 : 24,217,824 = 24,217,824 : x
  2. Step 2: Convert to fraction form
    15,672,380/24,217,824 = 24,217,824/x
  3. Step 3: Cross multiply
    15,672,380x = 24,217,824 × 24,217,824
  4. Step 4: Simplify right side
    15,672,380x = 586,502,999,294,976
  5. Step 5: Solve for x
    x = 586,502,999,294,976/15,672,380
  6. Step 6: Final answer
    x = 37,422,714.31

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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.