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Finding the Third Proportional to 37,958,731,710 and 81,630,122,018

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Solution

The third proportional to 37,958,731,710 and 81,630,122,018 is: 175,545,296,707.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,958,731,710 : 81,630,122,018 = 81,630,122,018 : x
  2. Step 2: Convert to fraction form
    37,958,731,710/81,630,122,018 = 81,630,122,018/x
  3. Step 3: Cross multiply
    37,958,731,710x = 81,630,122,018 × 81,630,122,018
  4. Step 4: Simplify right side
    37,958,731,710x = 6,663,476,820,673,567,916,032
  5. Step 5: Solve for x
    x = 6,663,476,820,673,567,916,032/37,958,731,710
  6. Step 6: Final answer
    x = 175,545,296,707.53

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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.