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Finding the Third Proportional to 11,730,744 and 24,534,063

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Solution

The third proportional to 11,730,744 and 24,534,063 is: 51,311,344.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,730,744 : 24,534,063 = 24,534,063 : x
  2. Step 2: Convert to fraction form
    11,730,744/24,534,063 = 24,534,063/x
  3. Step 3: Cross multiply
    11,730,744x = 24,534,063 × 24,534,063
  4. Step 4: Simplify right side
    11,730,744x = 601,920,247,287,969
  5. Step 5: Solve for x
    x = 601,920,247,287,969/11,730,744
  6. Step 6: Final answer
    x = 51,311,344.56

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.