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Finding the Third Proportional to 182,564,504 and 405,947,824

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Solution

The third proportional to 182,564,504 and 405,947,824 is: 902,659,784.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,564,504 : 405,947,824 = 405,947,824 : x
  2. Step 2: Convert to fraction form
    182,564,504/405,947,824 = 405,947,824/x
  3. Step 3: Cross multiply
    182,564,504x = 405,947,824 × 405,947,824
  4. Step 4: Simplify right side
    182,564,504x = 164,793,635,810,334,976
  5. Step 5: Solve for x
    x = 164,793,635,810,334,976/182,564,504
  6. Step 6: Final answer
    x = 902,659,784.35

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.