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Finding the Third Proportional to 4,729,865 and 10,343,048

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Solution

The third proportional to 4,729,865 and 10,343,048 is: 22,617,694.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,729,865 : 10,343,048 = 10,343,048 : x
  2. Step 2: Convert to fraction form
    4,729,865/10,343,048 = 10,343,048/x
  3. Step 3: Cross multiply
    4,729,865x = 10,343,048 × 10,343,048
  4. Step 4: Simplify right side
    4,729,865x = 106,978,641,930,304
  5. Step 5: Solve for x
    x = 106,978,641,930,304/4,729,865
  6. Step 6: Final answer
    x = 22,617,694.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.