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Finding the Third Proportional to 4,768,530 and 10,218,864

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Solution

The third proportional to 4,768,530 and 10,218,864 is: 21,898,820.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,768,530 : 10,218,864 = 10,218,864 : x
  2. Step 2: Convert to fraction form
    4,768,530/10,218,864 = 10,218,864/x
  3. Step 3: Cross multiply
    4,768,530x = 10,218,864 × 10,218,864
  4. Step 4: Simplify right side
    4,768,530x = 104,425,181,450,496
  5. Step 5: Solve for x
    x = 104,425,181,450,496/4,768,530
  6. Step 6: Final answer
    x = 21,898,820.28

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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.