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Finding the Third Proportional to 5,791,738 and 7,616,247

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Solution

The third proportional to 5,791,738 and 7,616,247 is: 10,015,511.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,791,738 : 7,616,247 = 7,616,247 : x
  2. Step 2: Convert to fraction form
    5,791,738/7,616,247 = 7,616,247/x
  3. Step 3: Cross multiply
    5,791,738x = 7,616,247 × 7,616,247
  4. Step 4: Simplify right side
    5,791,738x = 58,007,218,365,009
  5. Step 5: Solve for x
    x = 58,007,218,365,009/5,791,738
  6. Step 6: Final answer
    x = 10,015,511.47

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.