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Finding the Third Proportional to 3,157,647 and 6,846,320

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Solution

The third proportional to 3,157,647 and 6,846,320 is: 14,843,995.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,157,647 : 6,846,320 = 6,846,320 : x
  2. Step 2: Convert to fraction form
    3,157,647/6,846,320 = 6,846,320/x
  3. Step 3: Cross multiply
    3,157,647x = 6,846,320 × 6,846,320
  4. Step 4: Simplify right side
    3,157,647x = 46,872,097,542,400
  5. Step 5: Solve for x
    x = 46,872,097,542,400/3,157,647
  6. Step 6: Final answer
    x = 14,843,995.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.