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Finding the Third Proportional to 10,574,419 and 23,163,794

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Solution

The third proportional to 10,574,419 and 23,163,794 is: 50,741,449.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,574,419 : 23,163,794 = 23,163,794 : x
  2. Step 2: Convert to fraction form
    10,574,419/23,163,794 = 23,163,794/x
  3. Step 3: Cross multiply
    10,574,419x = 23,163,794 × 23,163,794
  4. Step 4: Simplify right side
    10,574,419x = 536,561,352,474,436
  5. Step 5: Solve for x
    x = 536,561,352,474,436/10,574,419
  6. Step 6: Final answer
    x = 50,741,449.95

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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.