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Finding the Third Proportional to 252,504,912 and 543,361,056

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Solution

The third proportional to 252,504,912 and 543,361,056 is: 1,169,249,480.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,504,912 : 543,361,056 = 543,361,056 : x
  2. Step 2: Convert to fraction form
    252,504,912/543,361,056 = 543,361,056/x
  3. Step 3: Cross multiply
    252,504,912x = 543,361,056 × 543,361,056
  4. Step 4: Simplify right side
    252,504,912x = 295,241,237,177,435,136
  5. Step 5: Solve for x
    x = 295,241,237,177,435,136/252,504,912
  6. Step 6: Final answer
    x = 1,169,249,480.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.