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Finding the Third Proportional to 5,916,096 and 8,454,239

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Solution

The third proportional to 5,916,096 and 8,454,239 is: 12,081,304.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,916,096 : 8,454,239 = 8,454,239 : x
  2. Step 2: Convert to fraction form
    5,916,096/8,454,239 = 8,454,239/x
  3. Step 3: Cross multiply
    5,916,096x = 8,454,239 × 8,454,239
  4. Step 4: Simplify right side
    5,916,096x = 71,474,157,069,121
  5. Step 5: Solve for x
    x = 71,474,157,069,121/5,916,096
  6. Step 6: Final answer
    x = 12,081,304.47

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.