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Finding the Third Proportional to 8,241,770 and 16,716,451

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Solution

The third proportional to 8,241,770 and 16,716,451 is: 33,905,306.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,241,770 : 16,716,451 = 16,716,451 : x
  2. Step 2: Convert to fraction form
    8,241,770/16,716,451 = 16,716,451/x
  3. Step 3: Cross multiply
    8,241,770x = 16,716,451 × 16,716,451
  4. Step 4: Simplify right side
    8,241,770x = 279,439,734,035,401
  5. Step 5: Solve for x
    x = 279,439,734,035,401/8,241,770
  6. Step 6: Final answer
    x = 33,905,306.02

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.