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Finding the Third Proportional to 6,416,408 and 14,267,410

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Solution

The third proportional to 6,416,408 and 14,267,410 is: 31,724,757.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,416,408 : 14,267,410 = 14,267,410 : x
  2. Step 2: Convert to fraction form
    6,416,408/14,267,410 = 14,267,410/x
  3. Step 3: Cross multiply
    6,416,408x = 14,267,410 × 14,267,410
  4. Step 4: Simplify right side
    6,416,408x = 203,558,988,108,100
  5. Step 5: Solve for x
    x = 203,558,988,108,100/6,416,408
  6. Step 6: Final answer
    x = 31,724,757.54

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.