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Finding the Third Proportional to 4,271,412 and 9,085,416

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Solution

The third proportional to 4,271,412 and 9,085,416 is: 19,324,940.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,271,412 : 9,085,416 = 9,085,416 : x
  2. Step 2: Convert to fraction form
    4,271,412/9,085,416 = 9,085,416/x
  3. Step 3: Cross multiply
    4,271,412x = 9,085,416 × 9,085,416
  4. Step 4: Simplify right side
    4,271,412x = 82,544,783,893,056
  5. Step 5: Solve for x
    x = 82,544,783,893,056/4,271,412
  6. Step 6: Final answer
    x = 19,324,940.77

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.