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Finding the Third Proportional to 9,974,638 and 21,474,884

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Solution

The third proportional to 9,974,638 and 21,474,884 is: 46,234,323.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,974,638 : 21,474,884 = 21,474,884 : x
  2. Step 2: Convert to fraction form
    9,974,638/21,474,884 = 21,474,884/x
  3. Step 3: Cross multiply
    9,974,638x = 21,474,884 × 21,474,884
  4. Step 4: Simplify right side
    9,974,638x = 461,170,642,813,456
  5. Step 5: Solve for x
    x = 461,170,642,813,456/9,974,638
  6. Step 6: Final answer
    x = 46,234,323.77

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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.