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Finding the Third Proportional to 14,929,920 and 32,752,512

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Solution

The third proportional to 14,929,920 and 32,752,512 is: 71,850,823.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,929,920 : 32,752,512 = 32,752,512 : x
  2. Step 2: Convert to fraction form
    14,929,920/32,752,512 = 32,752,512/x
  3. Step 3: Cross multiply
    14,929,920x = 32,752,512 × 32,752,512
  4. Step 4: Simplify right side
    14,929,920x = 1,072,727,042,310,144
  5. Step 5: Solve for x
    x = 1,072,727,042,310,144/14,929,920
  6. Step 6: Final answer
    x = 71,850,823.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.