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Finding the Third Proportional to 11,273,698 and 24,141,716

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Solution

The third proportional to 11,273,698 and 24,141,716 is: 51,697,539.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,273,698 : 24,141,716 = 24,141,716 : x
  2. Step 2: Convert to fraction form
    11,273,698/24,141,716 = 24,141,716/x
  3. Step 3: Cross multiply
    11,273,698x = 24,141,716 × 24,141,716
  4. Step 4: Simplify right side
    11,273,698x = 582,822,451,424,656
  5. Step 5: Solve for x
    x = 582,822,451,424,656/11,273,698
  6. Step 6: Final answer
    x = 51,697,539.83

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.