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Finding the Third Proportional to 4,287,092,676.75 and 9,286,567,485.75

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Solution

The third proportional to 4,287,092,676.75 and 9,286,567,485.75 is: 20,116,275,100.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,287,092,676.75 : 9,286,567,485.75 = 9,286,567,485.75 : x
  2. Step 2: Convert to fraction form
    4,287,092,676.75/9,286,567,485.75 = 9,286,567,485.75/x
  3. Step 3: Cross multiply
    4,287,092,676.75x = 9,286,567,485.75 × 9,286,567,485.75
  4. Step 4: Simplify right side
    4,287,092,676.75x = 86,240,335,667,389,071,360
  5. Step 5: Solve for x
    x = 86,240,335,667,389,071,360/4,287,092,676.75
  6. Step 6: Final answer
    x = 20,116,275,100.63

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.