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Finding the Third Proportional to 325,821,062,133 and 701,437,725,081

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Solution

The third proportional to 325,821,062,133 and 701,437,725,081 is: 1,510,076,969,689.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,821,062,133 : 701,437,725,081 = 701,437,725,081 : x
  2. Step 2: Convert to fraction form
    325,821,062,133/701,437,725,081 = 701,437,725,081/x
  3. Step 3: Cross multiply
    325,821,062,133x = 701,437,725,081 × 701,437,725,081
  4. Step 4: Simplify right side
    325,821,062,133x = 492,014,882,166,808,562,892,800
  5. Step 5: Solve for x
    x = 492,014,882,166,808,562,892,800/325,821,062,133
  6. Step 6: Final answer
    x = 1,510,076,969,689.48

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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.