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Finding the Third Proportional to 2,284,276,014 and 3,082,024,692

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Solution

The third proportional to 2,284,276,014 and 3,082,024,692 is: 4,158,374,970.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,284,276,014 : 3,082,024,692 = 3,082,024,692 : x
  2. Step 2: Convert to fraction form
    2,284,276,014/3,082,024,692 = 3,082,024,692/x
  3. Step 3: Cross multiply
    2,284,276,014x = 3,082,024,692 × 3,082,024,692
  4. Step 4: Simplify right side
    2,284,276,014x = 9,498,876,202,097,694,720
  5. Step 5: Solve for x
    x = 9,498,876,202,097,694,720/2,284,276,014
  6. Step 6: Final answer
    x = 4,158,374,970.40

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.