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Finding the Third Proportional to 5,677,967 and 12,314,250

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Solution

The third proportional to 5,677,967 and 12,314,250 is: 26,706,874.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,677,967 : 12,314,250 = 12,314,250 : x
  2. Step 2: Convert to fraction form
    5,677,967/12,314,250 = 12,314,250/x
  3. Step 3: Cross multiply
    5,677,967x = 12,314,250 × 12,314,250
  4. Step 4: Simplify right side
    5,677,967x = 151,640,753,062,500
  5. Step 5: Solve for x
    x = 151,640,753,062,500/5,677,967
  6. Step 6: Final answer
    x = 26,706,874.67

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.