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Finding the Third Proportional to 11,007,364 and 23,346,824

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Solution

The third proportional to 11,007,364 and 23,346,824 is: 49,519,048.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,007,364 : 23,346,824 = 23,346,824 : x
  2. Step 2: Convert to fraction form
    11,007,364/23,346,824 = 23,346,824/x
  3. Step 3: Cross multiply
    11,007,364x = 23,346,824 × 23,346,824
  4. Step 4: Simplify right side
    11,007,364x = 545,074,190,886,976
  5. Step 5: Solve for x
    x = 545,074,190,886,976/11,007,364
  6. Step 6: Final answer
    x = 49,519,048.42

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.