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Finding the Third Proportional to 6,548,836.50 and 13,776,311.25

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Solution

The third proportional to 6,548,836.50 and 13,776,311.25 is: 28,980,224.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,548,836.50 : 13,776,311.25 = 13,776,311.25 : x
  2. Step 2: Convert to fraction form
    6,548,836.50/13,776,311.25 = 13,776,311.25/x
  3. Step 3: Cross multiply
    6,548,836.50x = 13,776,311.25 × 13,776,311.25
  4. Step 4: Simplify right side
    6,548,836.50x = 189,786,751,656,876.56
  5. Step 5: Solve for x
    x = 189,786,751,656,876.56/6,548,836.50
  6. Step 6: Final answer
    x = 28,980,224.45

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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.