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Finding the Third Proportional to 5,991,888 and 12,823,584

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Solution

The third proportional to 5,991,888 and 12,823,584 is: 27,444,489.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,991,888 : 12,823,584 = 12,823,584 : x
  2. Step 2: Convert to fraction form
    5,991,888/12,823,584 = 12,823,584/x
  3. Step 3: Cross multiply
    5,991,888x = 12,823,584 × 12,823,584
  4. Step 4: Simplify right side
    5,991,888x = 164,444,306,605,056
  5. Step 5: Solve for x
    x = 164,444,306,605,056/5,991,888
  6. Step 6: Final answer
    x = 27,444,489.38

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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.