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Finding the Third Proportional to 6,895,212.75 and 9,663,464.25

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Solution

The third proportional to 6,895,212.75 and 9,663,464.25 is: 13,543,097.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,895,212.75 : 9,663,464.25 = 9,663,464.25 : x
  2. Step 2: Convert to fraction form
    6,895,212.75/9,663,464.25 = 9,663,464.25/x
  3. Step 3: Cross multiply
    6,895,212.75x = 9,663,464.25 × 9,663,464.25
  4. Step 4: Simplify right side
    6,895,212.75x = 93,382,541,311,028.06
  5. Step 5: Solve for x
    x = 93,382,541,311,028.06/6,895,212.75
  6. Step 6: Final answer
    x = 13,543,097.90

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.