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Finding the Third Proportional to 11,273,697 and 24,141,715

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Solution

The third proportional to 11,273,697 and 24,141,715 is: 51,697,540.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,273,697 : 24,141,715 = 24,141,715 : x
  2. Step 2: Convert to fraction form
    11,273,697/24,141,715 = 24,141,715/x
  3. Step 3: Cross multiply
    11,273,697x = 24,141,715 × 24,141,715
  4. Step 4: Simplify right side
    11,273,697x = 582,822,403,141,225
  5. Step 5: Solve for x
    x = 582,822,403,141,225/11,273,697
  6. Step 6: Final answer
    x = 51,697,540.14

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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.