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Finding the Third Proportional to 6,478,736 and 14,174,150

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Solution

The third proportional to 6,478,736 and 14,174,150 is: 31,010,142.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,478,736 : 14,174,150 = 14,174,150 : x
  2. Step 2: Convert to fraction form
    6,478,736/14,174,150 = 14,174,150/x
  3. Step 3: Cross multiply
    6,478,736x = 14,174,150 × 14,174,150
  4. Step 4: Simplify right side
    6,478,736x = 200,906,528,222,500
  5. Step 5: Solve for x
    x = 200,906,528,222,500/6,478,736
  6. Step 6: Final answer
    x = 31,010,142.75

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.