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Finding the Third Proportional to 6,984,256 and 15,436,864

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Solution

The third proportional to 6,984,256 and 15,436,864 is: 34,119,134.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,984,256 : 15,436,864 = 15,436,864 : x
  2. Step 2: Convert to fraction form
    6,984,256/15,436,864 = 15,436,864/x
  3. Step 3: Cross multiply
    6,984,256x = 15,436,864 × 15,436,864
  4. Step 4: Simplify right side
    6,984,256x = 238,296,770,154,496
  5. Step 5: Solve for x
    x = 238,296,770,154,496/6,984,256
  6. Step 6: Final answer
    x = 34,119,134.54

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.