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Finding the Third Proportional to 4,212,207 and 8,214,462

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Solution

The third proportional to 4,212,207 and 8,214,462 is: 16,019,484.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,212,207 : 8,214,462 = 8,214,462 : x
  2. Step 2: Convert to fraction form
    4,212,207/8,214,462 = 8,214,462/x
  3. Step 3: Cross multiply
    4,212,207x = 8,214,462 × 8,214,462
  4. Step 4: Simplify right side
    4,212,207x = 67,477,385,949,444
  5. Step 5: Solve for x
    x = 67,477,385,949,444/4,212,207
  6. Step 6: Final answer
    x = 16,019,484.79

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.