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Finding the Third Proportional to 6,089,433 and 12,682,642

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Solution

The third proportional to 6,089,433 and 12,682,642 is: 26,414,513.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,089,433 : 12,682,642 = 12,682,642 : x
  2. Step 2: Convert to fraction form
    6,089,433/12,682,642 = 12,682,642/x
  3. Step 3: Cross multiply
    6,089,433x = 12,682,642 × 12,682,642
  4. Step 4: Simplify right side
    6,089,433x = 160,849,408,100,164
  5. Step 5: Solve for x
    x = 160,849,408,100,164/6,089,433
  6. Step 6: Final answer
    x = 26,414,513.16

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