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Finding the Third Proportional to 6,530,994 and 13,928,161.50

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Solution

The third proportional to 6,530,994 and 13,928,161.50 is: 29,703,546.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,530,994 : 13,928,161.50 = 13,928,161.50 : x
  2. Step 2: Convert to fraction form
    6,530,994/13,928,161.50 = 13,928,161.50/x
  3. Step 3: Cross multiply
    6,530,994x = 13,928,161.50 × 13,928,161.50
  4. Step 4: Simplify right side
    6,530,994x = 193,993,682,770,082.25
  5. Step 5: Solve for x
    x = 193,993,682,770,082.25/6,530,994
  6. Step 6: Final answer
    x = 29,703,546.32

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.