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Finding the Third Proportional to 11,642,396 and 24,491,260

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Solution

The third proportional to 11,642,396 and 24,491,260 is: 51,520,478.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,642,396 : 24,491,260 = 24,491,260 : x
  2. Step 2: Convert to fraction form
    11,642,396/24,491,260 = 24,491,260/x
  3. Step 3: Cross multiply
    11,642,396x = 24,491,260 × 24,491,260
  4. Step 4: Simplify right side
    11,642,396x = 599,821,816,387,600
  5. Step 5: Solve for x
    x = 599,821,816,387,600/11,642,396
  6. Step 6: Final answer
    x = 51,520,478.81

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.