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Finding the Third Proportional to 4,716,144 and 10,104,669

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Solution

The third proportional to 4,716,144 and 10,104,669 is: 21,649,961.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,716,144 : 10,104,669 = 10,104,669 : x
  2. Step 2: Convert to fraction form
    4,716,144/10,104,669 = 10,104,669/x
  3. Step 3: Cross multiply
    4,716,144x = 10,104,669 × 10,104,669
  4. Step 4: Simplify right side
    4,716,144x = 102,104,335,599,561
  5. Step 5: Solve for x
    x = 102,104,335,599,561/4,716,144
  6. Step 6: Final answer
    x = 21,649,961.41

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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.