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Finding the Third Proportional to 3,485,204 and 7,549,416

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Solution

The third proportional to 3,485,204 and 7,549,416 is: 16,353,040.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,485,204 : 7,549,416 = 7,549,416 : x
  2. Step 2: Convert to fraction form
    3,485,204/7,549,416 = 7,549,416/x
  3. Step 3: Cross multiply
    3,485,204x = 7,549,416 × 7,549,416
  4. Step 4: Simplify right side
    3,485,204x = 56,993,681,941,056
  5. Step 5: Solve for x
    x = 56,993,681,941,056/3,485,204
  6. Step 6: Final answer
    x = 16,353,040.44

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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.