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Finding the Third Proportional to 6,425,309 and 14,022,610

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Solution

The third proportional to 6,425,309 and 14,022,610 is: 30,602,978.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,425,309 : 14,022,610 = 14,022,610 : x
  2. Step 2: Convert to fraction form
    6,425,309/14,022,610 = 14,022,610/x
  3. Step 3: Cross multiply
    6,425,309x = 14,022,610 × 14,022,610
  4. Step 4: Simplify right side
    6,425,309x = 196,633,591,212,100
  5. Step 5: Solve for x
    x = 196,633,591,212,100/6,425,309
  6. Step 6: Final answer
    x = 30,602,978.19

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.