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Finding the Third Proportional to 325,821,062,122.88 and 701,437,725,069.75

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Solution

The third proportional to 325,821,062,122.88 and 701,437,725,069.75 is: 1,510,076,969,687.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,821,062,122.88 : 701,437,725,069.75 = 701,437,725,069.75 : x
  2. Step 2: Convert to fraction form
    325,821,062,122.88/701,437,725,069.75 = 701,437,725,069.75/x
  3. Step 3: Cross multiply
    325,821,062,122.88x = 701,437,725,069.75 × 701,437,725,069.75
  4. Step 4: Simplify right side
    325,821,062,122.88x = 492,014,882,151,026,168,692,736
  5. Step 5: Solve for x
    x = 492,014,882,151,026,168,692,736/325,821,062,122.88
  6. Step 6: Final answer
    x = 1,510,076,969,687.94

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