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Finding the Third Proportional to 6,441,063 and 13,890,958.50

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Solution

The third proportional to 6,441,063 and 13,890,958.50 is: 29,957,590.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,441,063 : 13,890,958.50 = 13,890,958.50 : x
  2. Step 2: Convert to fraction form
    6,441,063/13,890,958.50 = 13,890,958.50/x
  3. Step 3: Cross multiply
    6,441,063x = 13,890,958.50 × 13,890,958.50
  4. Step 4: Simplify right side
    6,441,063x = 192,958,728,048,722.25
  5. Step 5: Solve for x
    x = 192,958,728,048,722.25/6,441,063
  6. Step 6: Final answer
    x = 29,957,590.55

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.