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Finding the Third Proportional to 8,397,676 and 12,594,327

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Solution

The third proportional to 8,397,676 and 12,594,327 is: 18,888,210.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,397,676 : 12,594,327 = 12,594,327 : x
  2. Step 2: Convert to fraction form
    8,397,676/12,594,327 = 12,594,327/x
  3. Step 3: Cross multiply
    8,397,676x = 12,594,327 × 12,594,327
  4. Step 4: Simplify right side
    8,397,676x = 158,617,072,582,929
  5. Step 5: Solve for x
    x = 158,617,072,582,929/8,397,676
  6. Step 6: Final answer
    x = 18,888,210.57

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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.