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Finding the Third Proportional to 6,783,084 and 14,374,872

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Solution

The third proportional to 6,783,084 and 14,374,872 is: 30,463,568.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,783,084 : 14,374,872 = 14,374,872 : x
  2. Step 2: Convert to fraction form
    6,783,084/14,374,872 = 14,374,872/x
  3. Step 3: Cross multiply
    6,783,084x = 14,374,872 × 14,374,872
  4. Step 4: Simplify right side
    6,783,084x = 206,636,945,016,384
  5. Step 5: Solve for x
    x = 206,636,945,016,384/6,783,084
  6. Step 6: Final answer
    x = 30,463,568.64

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.