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Finding the Third Proportional to 4,621,013 and 10,304,540

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Solution

The third proportional to 4,621,013 and 10,304,540 is: 22,978,412.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,621,013 : 10,304,540 = 10,304,540 : x
  2. Step 2: Convert to fraction form
    4,621,013/10,304,540 = 10,304,540/x
  3. Step 3: Cross multiply
    4,621,013x = 10,304,540 × 10,304,540
  4. Step 4: Simplify right side
    4,621,013x = 106,183,544,611,600
  5. Step 5: Solve for x
    x = 106,183,544,611,600/4,621,013
  6. Step 6: Final answer
    x = 22,978,412.87

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.