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Finding the Third Proportional to 9,974,636 and 21,474,880

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Solution

The third proportional to 9,974,636 and 21,474,880 is: 46,234,315.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,974,636 : 21,474,880 = 21,474,880 : x
  2. Step 2: Convert to fraction form
    9,974,636/21,474,880 = 21,474,880/x
  3. Step 3: Cross multiply
    9,974,636x = 21,474,880 × 21,474,880
  4. Step 4: Simplify right side
    9,974,636x = 461,170,471,014,400
  5. Step 5: Solve for x
    x = 461,170,471,014,400/9,974,636
  6. Step 6: Final answer
    x = 46,234,315.82

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