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Finding the Third Proportional to 6,182,894 and 9,095,241

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Solution

The third proportional to 6,182,894 and 9,095,241 is: 13,379,399.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,182,894 : 9,095,241 = 9,095,241 : x
  2. Step 2: Convert to fraction form
    6,182,894/9,095,241 = 9,095,241/x
  3. Step 3: Cross multiply
    6,182,894x = 9,095,241 × 9,095,241
  4. Step 4: Simplify right side
    6,182,894x = 82,723,408,848,081
  5. Step 5: Solve for x
    x = 82,723,408,848,081/6,182,894
  6. Step 6: Final answer
    x = 13,379,399.49

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.