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Finding the Third Proportional to 6,624,304 and 14,192,960

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Solution

The third proportional to 6,624,304 and 14,192,960 is: 30,409,249.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,624,304 : 14,192,960 = 14,192,960 : x
  2. Step 2: Convert to fraction form
    6,624,304/14,192,960 = 14,192,960/x
  3. Step 3: Cross multiply
    6,624,304x = 14,192,960 × 14,192,960
  4. Step 4: Simplify right side
    6,624,304x = 201,440,113,561,600
  5. Step 5: Solve for x
    x = 201,440,113,561,600/6,624,304
  6. Step 6: Final answer
    x = 30,409,249.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.