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Finding the Third Proportional to 69,835,549 and 164,621,809

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Solution

The third proportional to 69,835,549 and 164,621,809 is: 388,059,382.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,835,549 : 164,621,809 = 164,621,809 : x
  2. Step 2: Convert to fraction form
    69,835,549/164,621,809 = 164,621,809/x
  3. Step 3: Cross multiply
    69,835,549x = 164,621,809 × 164,621,809
  4. Step 4: Simplify right side
    69,835,549x = 27,100,339,998,432,480
  5. Step 5: Solve for x
    x = 27,100,339,998,432,480/69,835,549
  6. Step 6: Final answer
    x = 388,059,382.17

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.