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Finding the Third Proportional to 31,070,049 and 46,605,067

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Solution

The third proportional to 31,070,049 and 46,605,067 is: 69,907,590.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,070,049 : 46,605,067 = 46,605,067 : x
  2. Step 2: Convert to fraction form
    31,070,049/46,605,067 = 46,605,067/x
  3. Step 3: Cross multiply
    31,070,049x = 46,605,067 × 46,605,067
  4. Step 4: Simplify right side
    31,070,049x = 2,172,032,270,074,489
  5. Step 5: Solve for x
    x = 2,172,032,270,074,489/31,070,049
  6. Step 6: Final answer
    x = 69,907,590.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.