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Finding the Third Proportional to 3,670,355 and 7,971,214

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Solution

The third proportional to 3,670,355 and 7,971,214 is: 17,311,745.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,670,355 : 7,971,214 = 7,971,214 : x
  2. Step 2: Convert to fraction form
    3,670,355/7,971,214 = 7,971,214/x
  3. Step 3: Cross multiply
    3,670,355x = 7,971,214 × 7,971,214
  4. Step 4: Simplify right side
    3,670,355x = 63,540,252,633,796
  5. Step 5: Solve for x
    x = 63,540,252,633,796/3,670,355
  6. Step 6: Final answer
    x = 17,311,745.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.