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Finding the Third Proportional to 46,072,611 and 100,823,238

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Solution

The third proportional to 46,072,611 and 100,823,238 is: 220,637,057.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,072,611 : 100,823,238 = 100,823,238 : x
  2. Step 2: Convert to fraction form
    46,072,611/100,823,238 = 100,823,238/x
  3. Step 3: Cross multiply
    46,072,611x = 100,823,238 × 100,823,238
  4. Step 4: Simplify right side
    46,072,611x = 10,165,325,320,804,644
  5. Step 5: Solve for x
    x = 10,165,325,320,804,644/46,072,611
  6. Step 6: Final answer
    x = 220,637,057.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.