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Finding the Third Proportional to 3,434,004 and 7,465,880.25

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Solution

The third proportional to 3,434,004 and 7,465,880.25 is: 16,231,596.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,434,004 : 7,465,880.25 = 7,465,880.25 : x
  2. Step 2: Convert to fraction form
    3,434,004/7,465,880.25 = 7,465,880.25/x
  3. Step 3: Cross multiply
    3,434,004x = 7,465,880.25 × 7,465,880.25
  4. Step 4: Simplify right side
    3,434,004x = 55,739,367,907,340.06
  5. Step 5: Solve for x
    x = 55,739,367,907,340.06/3,434,004
  6. Step 6: Final answer
    x = 16,231,596.67

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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.