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Finding the Third Proportional to 10,582,968 and 23,183,824

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Solution

The third proportional to 10,582,968 and 23,183,824 is: 50,788,181.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,582,968 : 23,183,824 = 23,183,824 : x
  2. Step 2: Convert to fraction form
    10,582,968/23,183,824 = 23,183,824/x
  3. Step 3: Cross multiply
    10,582,968x = 23,183,824 × 23,183,824
  4. Step 4: Simplify right side
    10,582,968x = 537,489,695,262,976
  5. Step 5: Solve for x
    x = 537,489,695,262,976/10,582,968
  6. Step 6: Final answer
    x = 50,788,181.09

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.