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Finding the Third Proportional to 9,852,974 and 21,162,390

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Solution

The third proportional to 9,852,974 and 21,162,390 is: 45,452,951.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,852,974 : 21,162,390 = 21,162,390 : x
  2. Step 2: Convert to fraction form
    9,852,974/21,162,390 = 21,162,390/x
  3. Step 3: Cross multiply
    9,852,974x = 21,162,390 × 21,162,390
  4. Step 4: Simplify right side
    9,852,974x = 447,846,750,512,100
  5. Step 5: Solve for x
    x = 447,846,750,512,100/9,852,974
  6. Step 6: Final answer
    x = 45,452,951.62

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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.