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Finding the Third Proportional to 37,958,731,696.50 and 81,630,121,992

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Solution

The third proportional to 37,958,731,696.50 and 81,630,121,992 is: 175,545,296,658.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,958,731,696.50 : 81,630,121,992 = 81,630,121,992 : x
  2. Step 2: Convert to fraction form
    37,958,731,696.50/81,630,121,992 = 81,630,121,992/x
  3. Step 3: Cross multiply
    37,958,731,696.50x = 81,630,121,992 × 81,630,121,992
  4. Step 4: Simplify right side
    37,958,731,696.50x = 6,663,476,816,428,802,244,608
  5. Step 5: Solve for x
    x = 6,663,476,816,428,802,244,608/37,958,731,696.50
  6. Step 6: Final answer
    x = 175,545,296,658.14

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Why These Related Problems?

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