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Finding the Third Proportional to 2,117,515,864 and 3,203,507,886

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Solution

The third proportional to 2,117,515,864 and 3,203,507,886 is: 4,846,463,230.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,117,515,864 : 3,203,507,886 = 3,203,507,886 : x
  2. Step 2: Convert to fraction form
    2,117,515,864/3,203,507,886 = 3,203,507,886/x
  3. Step 3: Cross multiply
    2,117,515,864x = 3,203,507,886 × 3,203,507,886
  4. Step 4: Simplify right side
    2,117,515,864x = 10,262,462,775,664,189,440
  5. Step 5: Solve for x
    x = 10,262,462,775,664,189,440/2,117,515,864
  6. Step 6: Final answer
    x = 4,846,463,230.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.