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Finding the Third Proportional to 30,463,539 and 65,942,886

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Solution

The third proportional to 30,463,539 and 65,942,886 is: 142,743,238.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,463,539 : 65,942,886 = 65,942,886 : x
  2. Step 2: Convert to fraction form
    30,463,539/65,942,886 = 65,942,886/x
  3. Step 3: Cross multiply
    30,463,539x = 65,942,886 × 65,942,886
  4. Step 4: Simplify right side
    30,463,539x = 4,348,464,214,008,996
  5. Step 5: Solve for x
    x = 4,348,464,214,008,996/30,463,539
  6. Step 6: Final answer
    x = 142,743,238.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.