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Finding the Third Proportional to 5,991,622 and 12,823,052

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Solution

The third proportional to 5,991,622 and 12,823,052 is: 27,443,430.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,991,622 : 12,823,052 = 12,823,052 : x
  2. Step 2: Convert to fraction form
    5,991,622/12,823,052 = 12,823,052/x
  3. Step 3: Cross multiply
    5,991,622x = 12,823,052 × 12,823,052
  4. Step 4: Simplify right side
    5,991,622x = 164,430,662,594,704
  5. Step 5: Solve for x
    x = 164,430,662,594,704/5,991,622
  6. Step 6: Final answer
    x = 27,443,430.61

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Why These Related Problems?

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