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Finding the Third Proportional to 5,677,634 and 12,098,524

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Solution

The third proportional to 5,677,634 and 12,098,524 is: 25,780,859.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,677,634 : 12,098,524 = 12,098,524 : x
  2. Step 2: Convert to fraction form
    5,677,634/12,098,524 = 12,098,524/x
  3. Step 3: Cross multiply
    5,677,634x = 12,098,524 × 12,098,524
  4. Step 4: Simplify right side
    5,677,634x = 146,374,282,978,576
  5. Step 5: Solve for x
    x = 146,374,282,978,576/5,677,634
  6. Step 6: Final answer
    x = 25,780,859.24

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.