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Finding the Third Proportional to 2,152,627,449 and 3,369,449,889

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Solution

The third proportional to 2,152,627,449 and 3,369,449,889 is: 5,274,109,349.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152,627,449 : 3,369,449,889 = 3,369,449,889 : x
  2. Step 2: Convert to fraction form
    2,152,627,449/3,369,449,889 = 3,369,449,889/x
  3. Step 3: Cross multiply
    2,152,627,449x = 3,369,449,889 × 3,369,449,889
  4. Step 4: Simplify right side
    2,152,627,449x = 11,353,192,554,482,112,512
  5. Step 5: Solve for x
    x = 11,353,192,554,482,112,512/2,152,627,449
  6. Step 6: Final answer
    x = 5,274,109,349.37

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.