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Finding the Third Proportional to 37,958,731,692 and 81,630,121,985

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Solution

The third proportional to 37,958,731,692 and 81,630,121,985 is: 175,545,296,648.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,958,731,692 : 81,630,121,985 = 81,630,121,985 : x
  2. Step 2: Convert to fraction form
    37,958,731,692/81,630,121,985 = 81,630,121,985/x
  3. Step 3: Cross multiply
    37,958,731,692x = 81,630,121,985 × 81,630,121,985
  4. Step 4: Simplify right side
    37,958,731,692x = 6,663,476,815,285,980,233,728
  5. Step 5: Solve for x
    x = 6,663,476,815,285,980,233,728/37,958,731,692
  6. Step 6: Final answer
    x = 175,545,296,648.84

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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.