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Finding the Third Proportional to 5,642,376 and 13,317,324

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Solution

The third proportional to 5,642,376 and 13,317,324 is: 31,431,992.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,642,376 : 13,317,324 = 13,317,324 : x
  2. Step 2: Convert to fraction form
    5,642,376/13,317,324 = 13,317,324/x
  3. Step 3: Cross multiply
    5,642,376x = 13,317,324 × 13,317,324
  4. Step 4: Simplify right side
    5,642,376x = 177,351,118,520,976
  5. Step 5: Solve for x
    x = 177,351,118,520,976/5,642,376
  6. Step 6: Final answer
    x = 31,431,992.22

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.