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Finding the Third Proportional to 5,826,080 and 11,932,032

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Solution

The third proportional to 5,826,080 and 11,932,032 is: 24,437,252.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,826,080 : 11,932,032 = 11,932,032 : x
  2. Step 2: Convert to fraction form
    5,826,080/11,932,032 = 11,932,032/x
  3. Step 3: Cross multiply
    5,826,080x = 11,932,032 × 11,932,032
  4. Step 4: Simplify right side
    5,826,080x = 142,373,387,649,024
  5. Step 5: Solve for x
    x = 142,373,387,649,024/5,826,080
  6. Step 6: Final answer
    x = 24,437,252.43

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.