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Finding the Third Proportional to 84,824,274 and 183,046,218

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Solution

The third proportional to 84,824,274 and 183,046,218 is: 395,003,886.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,824,274 : 183,046,218 = 183,046,218 : x
  2. Step 2: Convert to fraction form
    84,824,274/183,046,218 = 183,046,218/x
  3. Step 3: Cross multiply
    84,824,274x = 183,046,218 × 183,046,218
  4. Step 4: Simplify right side
    84,824,274x = 33,505,917,924,103,524
  5. Step 5: Solve for x
    x = 33,505,917,924,103,524/84,824,274
  6. Step 6: Final answer
    x = 395,003,886.79

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.