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Finding the Third Proportional to 3,157,100 and 6,819,400

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Solution

The third proportional to 3,157,100 and 6,819,400 is: 14,730,042.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,157,100 : 6,819,400 = 6,819,400 : x
  2. Step 2: Convert to fraction form
    3,157,100/6,819,400 = 6,819,400/x
  3. Step 3: Cross multiply
    3,157,100x = 6,819,400 × 6,819,400
  4. Step 4: Simplify right side
    3,157,100x = 46,504,216,360,000
  5. Step 5: Solve for x
    x = 46,504,216,360,000/3,157,100
  6. Step 6: Final answer
    x = 14,730,042.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.