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Finding the Third Proportional to 2,147,382.14 and 4,631,007.94

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Solution

The third proportional to 2,147,382.14 and 4,631,007.94 is: 9,987,153.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,147,382.14 : 4,631,007.94 = 4,631,007.94 : x
  2. Step 2: Convert to fraction form
    2,147,382.14/4,631,007.94 = 4,631,007.94/x
  3. Step 3: Cross multiply
    2,147,382.14x = 4,631,007.94 × 4,631,007.94
  4. Step 4: Simplify right side
    2,147,382.14x = 21,446,234,517,188.00
  5. Step 5: Solve for x
    x = 21,446,234,517,188.00/2,147,382.14
  6. Step 6: Final answer
    x = 9,987,153.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.