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Finding the Third Proportional to 6,416,322 and 13,363,401

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Solution

The third proportional to 6,416,322 and 13,363,401 is: 27,832,220.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,416,322 : 13,363,401 = 13,363,401 : x
  2. Step 2: Convert to fraction form
    6,416,322/13,363,401 = 13,363,401/x
  3. Step 3: Cross multiply
    6,416,322x = 13,363,401 × 13,363,401
  4. Step 4: Simplify right side
    6,416,322x = 178,580,486,286,801
  5. Step 5: Solve for x
    x = 178,580,486,286,801/6,416,322
  6. Step 6: Final answer
    x = 27,832,220.12

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.