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Finding the Third Proportional to 4,829,013 and 10,233,756

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Solution

The third proportional to 4,829,013 and 10,233,756 is: 21,687,612.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,829,013 : 10,233,756 = 10,233,756 : x
  2. Step 2: Convert to fraction form
    4,829,013/10,233,756 = 10,233,756/x
  3. Step 3: Cross multiply
    4,829,013x = 10,233,756 × 10,233,756
  4. Step 4: Simplify right side
    4,829,013x = 104,729,761,867,536
  5. Step 5: Solve for x
    x = 104,729,761,867,536/4,829,013
  6. Step 6: Final answer
    x = 21,687,612.33

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.