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Finding the Third Proportional to 5,991,708 and 12,823,224

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Solution

The third proportional to 5,991,708 and 12,823,224 is: 27,443,772.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,991,708 : 12,823,224 = 12,823,224 : x
  2. Step 2: Convert to fraction form
    5,991,708/12,823,224 = 12,823,224/x
  3. Step 3: Cross multiply
    5,991,708x = 12,823,224 × 12,823,224
  4. Step 4: Simplify right side
    5,991,708x = 164,435,073,754,176
  5. Step 5: Solve for x
    x = 164,435,073,754,176/5,991,708
  6. Step 6: Final answer
    x = 27,443,772.92

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.