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Finding the Third Proportional to 5,434,096 and 11,719,436

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Solution

The third proportional to 5,434,096 and 11,719,436 is: 25,274,706.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,434,096 : 11,719,436 = 11,719,436 : x
  2. Step 2: Convert to fraction form
    5,434,096/11,719,436 = 11,719,436/x
  3. Step 3: Cross multiply
    5,434,096x = 11,719,436 × 11,719,436
  4. Step 4: Simplify right side
    5,434,096x = 137,345,180,158,096
  5. Step 5: Solve for x
    x = 137,345,180,158,096/5,434,096
  6. Step 6: Final answer
    x = 25,274,706.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.