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Finding the Third Proportional to 9,425,275,992 and 14,056,179,100.31

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Solution

The third proportional to 9,425,275,992 and 14,056,179,100.31 is: 20,962,375,114.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,425,275,992 : 14,056,179,100.31 = 14,056,179,100.31 : x
  2. Step 2: Convert to fraction form
    9,425,275,992/14,056,179,100.31 = 14,056,179,100.31/x
  3. Step 3: Cross multiply
    9,425,275,992x = 14,056,179,100.31 × 14,056,179,100.31
  4. Step 4: Simplify right side
    9,425,275,992x = 197,576,170,900,047,888,384
  5. Step 5: Solve for x
    x = 197,576,170,900,047,888,384/9,425,275,992
  6. Step 6: Final answer
    x = 20,962,375,114.29

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.