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Finding the Third Proportional to 6,548,634 and 13,775,932

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Solution

The third proportional to 6,548,634 and 13,775,932 is: 28,979,524.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,548,634 : 13,775,932 = 13,775,932 : x
  2. Step 2: Convert to fraction form
    6,548,634/13,775,932 = 13,775,932/x
  3. Step 3: Cross multiply
    6,548,634x = 13,775,932 × 13,775,932
  4. Step 4: Simplify right side
    6,548,634x = 189,776,302,468,624
  5. Step 5: Solve for x
    x = 189,776,302,468,624/6,548,634
  6. Step 6: Final answer
    x = 28,979,524.96

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.