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Finding the Third Proportional to 4,932,823 and 10,762,055

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Solution

The third proportional to 4,932,823 and 10,762,055 is: 23,479,826.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,932,823 : 10,762,055 = 10,762,055 : x
  2. Step 2: Convert to fraction form
    4,932,823/10,762,055 = 10,762,055/x
  3. Step 3: Cross multiply
    4,932,823x = 10,762,055 × 10,762,055
  4. Step 4: Simplify right side
    4,932,823x = 115,821,827,823,025
  5. Step 5: Solve for x
    x = 115,821,827,823,025/4,932,823
  6. Step 6: Final answer
    x = 23,479,826.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.