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Finding the Third Proportional to 31,796,720 and 68,970,544

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Solution

The third proportional to 31,796,720 and 68,970,544 is: 149,604,611.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,796,720 : 68,970,544 = 68,970,544 : x
  2. Step 2: Convert to fraction form
    31,796,720/68,970,544 = 68,970,544/x
  3. Step 3: Cross multiply
    31,796,720x = 68,970,544 × 68,970,544
  4. Step 4: Simplify right side
    31,796,720x = 4,756,935,939,655,936
  5. Step 5: Solve for x
    x = 4,756,935,939,655,936/31,796,720
  6. Step 6: Final answer
    x = 149,604,611.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.