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Finding the Third Proportional to 5,052,868 and 7,766,736

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Solution

The third proportional to 5,052,868 and 7,766,736 is: 11,938,207.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,052,868 : 7,766,736 = 7,766,736 : x
  2. Step 2: Convert to fraction form
    5,052,868/7,766,736 = 7,766,736/x
  3. Step 3: Cross multiply
    5,052,868x = 7,766,736 × 7,766,736
  4. Step 4: Simplify right side
    5,052,868x = 60,322,188,093,696
  5. Step 5: Solve for x
    x = 60,322,188,093,696/5,052,868
  6. Step 6: Final answer
    x = 11,938,207.78

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.