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Finding the Third Proportional to 6,376,825 and 13,021,305

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Solution

The third proportional to 6,376,825 and 13,021,305 is: 26,589,154.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,376,825 : 13,021,305 = 13,021,305 : x
  2. Step 2: Convert to fraction form
    6,376,825/13,021,305 = 13,021,305/x
  3. Step 3: Cross multiply
    6,376,825x = 13,021,305 × 13,021,305
  4. Step 4: Simplify right side
    6,376,825x = 169,554,383,903,025
  5. Step 5: Solve for x
    x = 169,554,383,903,025/6,376,825
  6. Step 6: Final answer
    x = 26,589,154.31

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.