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Finding the Third Proportional to 4,947,916 and 10,735,496

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Solution

The third proportional to 4,947,916 and 10,735,496 is: 23,292,811.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,947,916 : 10,735,496 = 10,735,496 : x
  2. Step 2: Convert to fraction form
    4,947,916/10,735,496 = 10,735,496/x
  3. Step 3: Cross multiply
    4,947,916x = 10,735,496 × 10,735,496
  4. Step 4: Simplify right side
    4,947,916x = 115,250,874,366,016
  5. Step 5: Solve for x
    x = 115,250,874,366,016/4,947,916
  6. Step 6: Final answer
    x = 23,292,811.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.