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Finding the Third Proportional to 3,065,716 and 6,449,024

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Solution

The third proportional to 3,065,716 and 6,449,024 is: 13,566,132.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,065,716 : 6,449,024 = 6,449,024 : x
  2. Step 2: Convert to fraction form
    3,065,716/6,449,024 = 6,449,024/x
  3. Step 3: Cross multiply
    3,065,716x = 6,449,024 × 6,449,024
  4. Step 4: Simplify right side
    3,065,716x = 41,589,910,552,576
  5. Step 5: Solve for x
    x = 41,589,910,552,576/3,065,716
  6. Step 6: Final answer
    x = 13,566,132.86

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.