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Finding the Third Proportional to 5,992,301 and 13,102,843

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Solution

The third proportional to 5,992,301 and 13,102,843 is: 28,650,846.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,992,301 : 13,102,843 = 13,102,843 : x
  2. Step 2: Convert to fraction form
    5,992,301/13,102,843 = 13,102,843/x
  3. Step 3: Cross multiply
    5,992,301x = 13,102,843 × 13,102,843
  4. Step 4: Simplify right side
    5,992,301x = 171,684,494,682,649
  5. Step 5: Solve for x
    x = 171,684,494,682,649/5,992,301
  6. Step 6: Final answer
    x = 28,650,846.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.