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Finding the Third Proportional to 4,097,996 and 6,014,133

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Solution

The third proportional to 4,097,996 and 6,014,133 is: 8,826,215.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,097,996 : 6,014,133 = 6,014,133 : x
  2. Step 2: Convert to fraction form
    4,097,996/6,014,133 = 6,014,133/x
  3. Step 3: Cross multiply
    4,097,996x = 6,014,133 × 6,014,133
  4. Step 4: Simplify right side
    4,097,996x = 36,169,795,741,689
  5. Step 5: Solve for x
    x = 36,169,795,741,689/4,097,996
  6. Step 6: Final answer
    x = 8,826,215.48

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.