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Finding the Third Proportional to 6,269,318 and 9,566,125

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Solution

The third proportional to 6,269,318 and 9,566,125 is: 14,596,603.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,269,318 : 9,566,125 = 9,566,125 : x
  2. Step 2: Convert to fraction form
    6,269,318/9,566,125 = 9,566,125/x
  3. Step 3: Cross multiply
    6,269,318x = 9,566,125 × 9,566,125
  4. Step 4: Simplify right side
    6,269,318x = 91,510,747,515,625
  5. Step 5: Solve for x
    x = 91,510,747,515,625/6,269,318
  6. Step 6: Final answer
    x = 14,596,603.25

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.