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Finding the Third Proportional to 3,277,800 and 7,153,344

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Solution

The third proportional to 3,277,800 and 7,153,344 is: 15,611,181.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,277,800 : 7,153,344 = 7,153,344 : x
  2. Step 2: Convert to fraction form
    3,277,800/7,153,344 = 7,153,344/x
  3. Step 3: Cross multiply
    3,277,800x = 7,153,344 × 7,153,344
  4. Step 4: Simplify right side
    3,277,800x = 51,170,330,382,336
  5. Step 5: Solve for x
    x = 51,170,330,382,336/3,277,800
  6. Step 6: Final answer
    x = 15,611,181.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.