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Finding the Third Proportional to 9,556,765,962 and 13,287,919,171

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Solution

The third proportional to 9,556,765,962 and 13,287,919,171 is: 18,475,789,466.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,556,765,962 : 13,287,919,171 = 13,287,919,171 : x
  2. Step 2: Convert to fraction form
    9,556,765,962/13,287,919,171 = 13,287,919,171/x
  3. Step 3: Cross multiply
    9,556,765,962x = 13,287,919,171 × 13,287,919,171
  4. Step 4: Simplify right side
    9,556,765,962x = 176,568,795,895,029,334,016
  5. Step 5: Solve for x
    x = 176,568,795,895,029,334,016/9,556,765,962
  6. Step 6: Final answer
    x = 18,475,789,466.55

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.