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Finding the Third Proportional to 4,743,828 and 10,208,124

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Solution

The third proportional to 4,743,828 and 10,208,124 is: 21,966,604.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,743,828 : 10,208,124 = 10,208,124 : x
  2. Step 2: Convert to fraction form
    4,743,828/10,208,124 = 10,208,124/x
  3. Step 3: Cross multiply
    4,743,828x = 10,208,124 × 10,208,124
  4. Step 4: Simplify right side
    4,743,828x = 104,205,795,599,376
  5. Step 5: Solve for x
    x = 104,205,795,599,376/4,743,828
  6. Step 6: Final answer
    x = 21,966,604.94

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.