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Finding the Third Proportional to 4,311,968 and 7,186,032

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Solution

The third proportional to 4,311,968 and 7,186,032 is: 11,975,751.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,311,968 : 7,186,032 = 7,186,032 : x
  2. Step 2: Convert to fraction form
    4,311,968/7,186,032 = 7,186,032/x
  3. Step 3: Cross multiply
    4,311,968x = 7,186,032 × 7,186,032
  4. Step 4: Simplify right side
    4,311,968x = 51,639,055,905,024
  5. Step 5: Solve for x
    x = 51,639,055,905,024/4,311,968
  6. Step 6: Final answer
    x = 11,975,751.19

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.