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Finding the Third Proportional to 10,911,474 and 22,973,148

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Solution

The third proportional to 10,911,474 and 22,973,148 is: 48,367,940.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,911,474 : 22,973,148 = 22,973,148 : x
  2. Step 2: Convert to fraction form
    10,911,474/22,973,148 = 22,973,148/x
  3. Step 3: Cross multiply
    10,911,474x = 22,973,148 × 22,973,148
  4. Step 4: Simplify right side
    10,911,474x = 527,765,529,029,904
  5. Step 5: Solve for x
    x = 527,765,529,029,904/10,911,474
  6. Step 6: Final answer
    x = 48,367,940.85

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.