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Finding the Third Proportional to 3,780,672 and 8,296,224

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Solution

The third proportional to 3,780,672 and 8,296,224 is: 18,205,052.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,780,672 : 8,296,224 = 8,296,224 : x
  2. Step 2: Convert to fraction form
    3,780,672/8,296,224 = 8,296,224/x
  3. Step 3: Cross multiply
    3,780,672x = 8,296,224 × 8,296,224
  4. Step 4: Simplify right side
    3,780,672x = 68,827,332,658,176
  5. Step 5: Solve for x
    x = 68,827,332,658,176/3,780,672
  6. Step 6: Final answer
    x = 18,205,052.61

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