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Finding the Third Proportional to 2,579,671,395,857.20 and 4,005,431,627,046.60

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Solution

The third proportional to 2,579,671,395,857.20 and 4,005,431,627,046.60 is: 6,219,196,190,921.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,579,671,395,857.20 : 4,005,431,627,046.60 = 4,005,431,627,046.60 : x
  2. Step 2: Convert to fraction form
    2,579,671,395,857.20/4,005,431,627,046.60 = 4,005,431,627,046.60/x
  3. Step 3: Cross multiply
    2,579,671,395,857.20x = 4,005,431,627,046.60 × 4,005,431,627,046.60
  4. Step 4: Simplify right side
    2,579,671,395,857.20x = 16,043,482,518,945,173,977,694,208
  5. Step 5: Solve for x
    x = 16,043,482,518,945,173,977,694,208/2,579,671,395,857.20
  6. Step 6: Final answer
    x = 6,219,196,190,921.86

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.