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Finding the Third Proportional to 6,438,462 and 9,310,185

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Solution

The third proportional to 6,438,462 and 9,310,185 is: 13,462,771.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,438,462 : 9,310,185 = 9,310,185 : x
  2. Step 2: Convert to fraction form
    6,438,462/9,310,185 = 9,310,185/x
  3. Step 3: Cross multiply
    6,438,462x = 9,310,185 × 9,310,185
  4. Step 4: Simplify right side
    6,438,462x = 86,679,544,734,225
  5. Step 5: Solve for x
    x = 86,679,544,734,225/6,438,462
  6. Step 6: Final answer
    x = 13,462,771.81

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.