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Finding the Third Proportional to 37,983,905,664 and 80,880,451,920

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Solution

The third proportional to 37,983,905,664 and 80,880,451,920 is: 172,221,560,380.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,983,905,664 : 80,880,451,920 = 80,880,451,920 : x
  2. Step 2: Convert to fraction form
    37,983,905,664/80,880,451,920 = 80,880,451,920/x
  3. Step 3: Cross multiply
    37,983,905,664x = 80,880,451,920 × 80,880,451,920
  4. Step 4: Simplify right side
    37,983,905,664x = 6,541,647,502,783,432,097,792
  5. Step 5: Solve for x
    x = 6,541,647,502,783,432,097,792/37,983,905,664
  6. Step 6: Final answer
    x = 172,221,560,380.07

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.