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Finding the Third Proportional to 8,449,344 and 12,714,480

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Solution

The third proportional to 8,449,344 and 12,714,480 is: 19,132,609.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,449,344 : 12,714,480 = 12,714,480 : x
  2. Step 2: Convert to fraction form
    8,449,344/12,714,480 = 12,714,480/x
  3. Step 3: Cross multiply
    8,449,344x = 12,714,480 × 12,714,480
  4. Step 4: Simplify right side
    8,449,344x = 161,658,001,670,400
  5. Step 5: Solve for x
    x = 161,658,001,670,400/8,449,344
  6. Step 6: Final answer
    x = 19,132,609.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.