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Finding the Third Proportional to 3,296,962.75 and 7,029,408.25

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Solution

The third proportional to 3,296,962.75 and 7,029,408.25 is: 14,987,303.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,296,962.75 : 7,029,408.25 = 7,029,408.25 : x
  2. Step 2: Convert to fraction form
    3,296,962.75/7,029,408.25 = 7,029,408.25/x
  3. Step 3: Cross multiply
    3,296,962.75x = 7,029,408.25 × 7,029,408.25
  4. Step 4: Simplify right side
    3,296,962.75x = 49,412,580,345,168.06
  5. Step 5: Solve for x
    x = 49,412,580,345,168.06/3,296,962.75
  6. Step 6: Final answer
    x = 14,987,303.19

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.