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Finding the Third Proportional to 10,398,096 and 16,164,180

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Solution

The third proportional to 10,398,096 and 16,164,180 is: 25,127,745.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,398,096 : 16,164,180 = 16,164,180 : x
  2. Step 2: Convert to fraction form
    10,398,096/16,164,180 = 16,164,180/x
  3. Step 3: Cross multiply
    10,398,096x = 16,164,180 × 16,164,180
  4. Step 4: Simplify right side
    10,398,096x = 261,280,715,072,400
  5. Step 5: Solve for x
    x = 261,280,715,072,400/10,398,096
  6. Step 6: Final answer
    x = 25,127,745.99

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.