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Finding the Third Proportional to 3,661,214 and 7,873,408

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Solution

The third proportional to 3,661,214 and 7,873,408 is: 16,931,693.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,661,214 : 7,873,408 = 7,873,408 : x
  2. Step 2: Convert to fraction form
    3,661,214/7,873,408 = 7,873,408/x
  3. Step 3: Cross multiply
    3,661,214x = 7,873,408 × 7,873,408
  4. Step 4: Simplify right side
    3,661,214x = 61,990,553,534,464
  5. Step 5: Solve for x
    x = 61,990,553,534,464/3,661,214
  6. Step 6: Final answer
    x = 16,931,693.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.