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Finding the Third Proportional to 33,243,793,400,085 and 71,490,663,394,218

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Solution

The third proportional to 33,243,793,400,085 and 71,490,663,394,218 is: 153,740,425,800,273.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,243,793,400,085 : 71,490,663,394,218 = 71,490,663,394,218 : x
  2. Step 2: Convert to fraction form
    33,243,793,400,085/71,490,663,394,218 = 71,490,663,394,218/x
  3. Step 3: Cross multiply
    33,243,793,400,085x = 71,490,663,394,218 × 71,490,663,394,218
  4. Step 4: Simplify right side
    33,243,793,400,085x = 5,110,914,952,545,381,033,061,646,336
  5. Step 5: Solve for x
    x = 5,110,914,952,545,381,033,061,646,336/33,243,793,400,085
  6. Step 6: Final answer
    x = 153,740,425,800,273.25

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.