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Finding the Third Proportional to 3,383,257 and 7,894,537

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Solution

The third proportional to 3,383,257 and 7,894,537 is: 18,421,217.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,383,257 : 7,894,537 = 7,894,537 : x
  2. Step 2: Convert to fraction form
    3,383,257/7,894,537 = 7,894,537/x
  3. Step 3: Cross multiply
    3,383,257x = 7,894,537 × 7,894,537
  4. Step 4: Simplify right side
    3,383,257x = 62,323,714,444,369
  5. Step 5: Solve for x
    x = 62,323,714,444,369/3,383,257
  6. Step 6: Final answer
    x = 18,421,217.91

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.