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Finding the Third Proportional to 4,991,471 and 7,667,510

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Solution

The third proportional to 4,991,471 and 7,667,510 is: 11,778,233.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,991,471 : 7,667,510 = 7,667,510 : x
  2. Step 2: Convert to fraction form
    4,991,471/7,667,510 = 7,667,510/x
  3. Step 3: Cross multiply
    4,991,471x = 7,667,510 × 7,667,510
  4. Step 4: Simplify right side
    4,991,471x = 58,790,709,600,100
  5. Step 5: Solve for x
    x = 58,790,709,600,100/4,991,471
  6. Step 6: Final answer
    x = 11,778,233.23

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