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Finding the Third Proportional to 6,330,853.50 and 12,885,464.50

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Solution

The third proportional to 6,330,853.50 and 12,885,464.50 is: 26,226,352.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,330,853.50 : 12,885,464.50 = 12,885,464.50 : x
  2. Step 2: Convert to fraction form
    6,330,853.50/12,885,464.50 = 12,885,464.50/x
  3. Step 3: Cross multiply
    6,330,853.50x = 12,885,464.50 × 12,885,464.50
  4. Step 4: Simplify right side
    6,330,853.50x = 166,035,195,380,760.25
  5. Step 5: Solve for x
    x = 166,035,195,380,760.25/6,330,853.50
  6. Step 6: Final answer
    x = 26,226,352.48

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.