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Finding the Third Proportional to 183,383,044 and 274,348,406

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Solution

The third proportional to 183,383,044 and 274,348,406 is: 410,436,244.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,383,044 : 274,348,406 = 274,348,406 : x
  2. Step 2: Convert to fraction form
    183,383,044/274,348,406 = 274,348,406/x
  3. Step 3: Cross multiply
    183,383,044x = 274,348,406 × 274,348,406
  4. Step 4: Simplify right side
    183,383,044x = 75,267,047,874,740,832
  5. Step 5: Solve for x
    x = 75,267,047,874,740,832/183,383,044
  6. Step 6: Final answer
    x = 410,436,244.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.