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Finding the Third Proportional to 6,193,650 and 14,574,144

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Solution

The third proportional to 6,193,650 and 14,574,144 is: 34,294,103.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,193,650 : 14,574,144 = 14,574,144 : x
  2. Step 2: Convert to fraction form
    6,193,650/14,574,144 = 14,574,144/x
  3. Step 3: Cross multiply
    6,193,650x = 14,574,144 × 14,574,144
  4. Step 4: Simplify right side
    6,193,650x = 212,405,673,332,736
  5. Step 5: Solve for x
    x = 212,405,673,332,736/6,193,650
  6. Step 6: Final answer
    x = 34,294,103.37

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.