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Finding the Third Proportional to 37,958,731,719 and 81,630,122,034

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Solution

The third proportional to 37,958,731,719 and 81,630,122,034 is: 175,545,296,734.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,958,731,719 : 81,630,122,034 = 81,630,122,034 : x
  2. Step 2: Convert to fraction form
    37,958,731,719/81,630,122,034 = 81,630,122,034/x
  3. Step 3: Cross multiply
    37,958,731,719x = 81,630,122,034 × 81,630,122,034
  4. Step 4: Simplify right side
    37,958,731,719x = 6,663,476,823,285,732,212,736
  5. Step 5: Solve for x
    x = 6,663,476,823,285,732,212,736/37,958,731,719
  6. Step 6: Final answer
    x = 175,545,296,734.73

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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.