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Finding the Third Proportional to 75,872,622 and 179,048,361

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Solution

The third proportional to 75,872,622 and 179,048,361 is: 422,528,110.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,872,622 : 179,048,361 = 179,048,361 : x
  2. Step 2: Convert to fraction form
    75,872,622/179,048,361 = 179,048,361/x
  3. Step 3: Cross multiply
    75,872,622x = 179,048,361 × 179,048,361
  4. Step 4: Simplify right side
    75,872,622x = 32,058,315,576,786,320
  5. Step 5: Solve for x
    x = 32,058,315,576,786,320/75,872,622
  6. Step 6: Final answer
    x = 422,528,110.03

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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.