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Finding the Third Proportional to 5,407,380 and 8,349,513.75

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Solution

The third proportional to 5,407,380 and 8,349,513.75 is: 12,892,450.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,407,380 : 8,349,513.75 = 8,349,513.75 : x
  2. Step 2: Convert to fraction form
    5,407,380/8,349,513.75 = 8,349,513.75/x
  3. Step 3: Cross multiply
    5,407,380x = 8,349,513.75 × 8,349,513.75
  4. Step 4: Simplify right side
    5,407,380x = 69,714,379,861,439.06
  5. Step 5: Solve for x
    x = 69,714,379,861,439.06/5,407,380
  6. Step 6: Final answer
    x = 12,892,450.66

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.