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Finding the Third Proportional to 408,628,692,999 and 954,741,043,858.50

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Solution

The third proportional to 408,628,692,999 and 954,741,043,858.50 is: 2,230,705,959,824.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,628,692,999 : 954,741,043,858.50 = 954,741,043,858.50 : x
  2. Step 2: Convert to fraction form
    408,628,692,999/954,741,043,858.50 = 954,741,043,858.50/x
  3. Step 3: Cross multiply
    408,628,692,999x = 954,741,043,858.50 × 954,741,043,858.50
  4. Step 4: Simplify right side
    408,628,692,999x = 911,530,460,828,018,203,951,104
  5. Step 5: Solve for x
    x = 911,530,460,828,018,203,951,104/408,628,692,999
  6. Step 6: Final answer
    x = 2,230,705,959,824.14

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.