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Finding the Third Proportional to 31,604,289,982 and 45,662,741,067

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Solution

The third proportional to 31,604,289,982 and 45,662,741,067 is: 65,974,775,036.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,604,289,982 : 45,662,741,067 = 45,662,741,067 : x
  2. Step 2: Convert to fraction form
    31,604,289,982/45,662,741,067 = 45,662,741,067/x
  3. Step 3: Cross multiply
    31,604,289,982x = 45,662,741,067 × 45,662,741,067
  4. Step 4: Simplify right side
    31,604,289,982x = 2,085,085,921,751,888,297,984
  5. Step 5: Solve for x
    x = 2,085,085,921,751,888,297,984/31,604,289,982
  6. Step 6: Final answer
    x = 65,974,775,036.54

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.