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Finding the Third Proportional to 10,505,998 and 23,004,904

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Solution

The third proportional to 10,505,998 and 23,004,904 is: 50,373,663.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,505,998 : 23,004,904 = 23,004,904 : x
  2. Step 2: Convert to fraction form
    10,505,998/23,004,904 = 23,004,904/x
  3. Step 3: Cross multiply
    10,505,998x = 23,004,904 × 23,004,904
  4. Step 4: Simplify right side
    10,505,998x = 529,225,608,049,216
  5. Step 5: Solve for x
    x = 529,225,608,049,216/10,505,998
  6. Step 6: Final answer
    x = 50,373,663.51

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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.