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Finding the Third Proportional to 37,970,095.99 and 82,839,989.04

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Solution

The third proportional to 37,970,095.99 and 82,839,989.04 is: 180,733,379.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,970,095.99 : 82,839,989.04 = 82,839,989.04 : x
  2. Step 2: Convert to fraction form
    37,970,095.99/82,839,989.04 = 82,839,989.04/x
  3. Step 3: Cross multiply
    37,970,095.99x = 82,839,989.04 × 82,839,989.04
  4. Step 4: Simplify right side
    37,970,095.99x = 6,862,463,783,991,911
  5. Step 5: Solve for x
    x = 6,862,463,783,991,911/37,970,095.99
  6. Step 6: Final answer
    x = 180,733,379.91

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.