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Finding the Third Proportional to 69,823,455 and 150,754,311

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Solution

The third proportional to 69,823,455 and 150,754,311 is: 325,490,371.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,823,455 : 150,754,311 = 150,754,311 : x
  2. Step 2: Convert to fraction form
    69,823,455/150,754,311 = 150,754,311/x
  3. Step 3: Cross multiply
    69,823,455x = 150,754,311 × 150,754,311
  4. Step 4: Simplify right side
    69,823,455x = 22,726,862,285,084,720
  5. Step 5: Solve for x
    x = 22,726,862,285,084,720/69,823,455
  6. Step 6: Final answer
    x = 325,490,371.18

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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.