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Finding the Third Proportional to 3,115,622,266 and 4,455,050,449

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Solution

The third proportional to 3,115,622,266 and 4,455,050,449 is: 6,370,308,339.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,115,622,266 : 4,455,050,449 = 4,455,050,449 : x
  2. Step 2: Convert to fraction form
    3,115,622,266/4,455,050,449 = 4,455,050,449/x
  3. Step 3: Cross multiply
    3,115,622,266x = 4,455,050,449 × 4,455,050,449
  4. Step 4: Simplify right side
    3,115,622,266x = 19,847,474,503,135,100,928
  5. Step 5: Solve for x
    x = 19,847,474,503,135,100,928/3,115,622,266
  6. Step 6: Final answer
    x = 6,370,308,339.28

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.