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Finding the Third Proportional to 37,715,517 and 81,440,910

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Solution

The third proportional to 37,715,517 and 81,440,910 is: 175,859,231.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,715,517 : 81,440,910 = 81,440,910 : x
  2. Step 2: Convert to fraction form
    37,715,517/81,440,910 = 81,440,910/x
  3. Step 3: Cross multiply
    37,715,517x = 81,440,910 × 81,440,910
  4. Step 4: Simplify right side
    37,715,517x = 6,632,621,821,628,100
  5. Step 5: Solve for x
    x = 6,632,621,821,628,100/37,715,517
  6. Step 6: Final answer
    x = 175,859,231.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.