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Finding the Third Proportional to 6,089,431 and 12,682,638

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Solution

The third proportional to 6,089,431 and 12,682,638 is: 26,414,505.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,089,431 : 12,682,638 = 12,682,638 : x
  2. Step 2: Convert to fraction form
    6,089,431/12,682,638 = 12,682,638/x
  3. Step 3: Cross multiply
    6,089,431x = 12,682,638 × 12,682,638
  4. Step 4: Simplify right side
    6,089,431x = 160,849,306,639,044
  5. Step 5: Solve for x
    x = 160,849,306,639,044/6,089,431
  6. Step 6: Final answer
    x = 26,414,505.17

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.