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Finding the Third Proportional to 9,632,784 and 13,209,147

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Solution

The third proportional to 9,632,784 and 13,209,147 is: 18,113,306.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,632,784 : 13,209,147 = 13,209,147 : x
  2. Step 2: Convert to fraction form
    9,632,784/13,209,147 = 13,209,147/x
  3. Step 3: Cross multiply
    9,632,784x = 13,209,147 × 13,209,147
  4. Step 4: Simplify right side
    9,632,784x = 174,481,564,467,609
  5. Step 5: Solve for x
    x = 174,481,564,467,609/9,632,784
  6. Step 6: Final answer
    x = 18,113,306.03

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.