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Finding the Third Proportional to 9,974,340 and 21,474,288

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Solution

The third proportional to 9,974,340 and 21,474,288 is: 46,233,138.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,974,340 : 21,474,288 = 21,474,288 : x
  2. Step 2: Convert to fraction form
    9,974,340/21,474,288 = 21,474,288/x
  3. Step 3: Cross multiply
    9,974,340x = 21,474,288 × 21,474,288
  4. Step 4: Simplify right side
    9,974,340x = 461,145,045,106,944
  5. Step 5: Solve for x
    x = 461,145,045,106,944/9,974,340
  6. Step 6: Final answer
    x = 46,233,138.74

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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.