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Finding the Third Proportional to 2,240,395,918,782 and 4,820,589,248,958

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Solution

The third proportional to 2,240,395,918,782 and 4,820,589,248,958 is: 10,372,309,872,713.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,240,395,918,782 : 4,820,589,248,958 = 4,820,589,248,958 : x
  2. Step 2: Convert to fraction form
    2,240,395,918,782/4,820,589,248,958 = 4,820,589,248,958/x
  3. Step 3: Cross multiply
    2,240,395,918,782x = 4,820,589,248,958 × 4,820,589,248,958
  4. Step 4: Simplify right side
    2,240,395,918,782x = 23,238,080,707,169,454,458,404,864
  5. Step 5: Solve for x
    x = 23,238,080,707,169,454,458,404,864/2,240,395,918,782
  6. Step 6: Final answer
    x = 10,372,309,872,713.45

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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.