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Finding the Third Proportional to 4,475,189.25 and 9,663,474.66

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Solution

The third proportional to 4,475,189.25 and 9,663,474.66 is: 20,866,769.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,475,189.25 : 9,663,474.66 = 9,663,474.66 : x
  2. Step 2: Convert to fraction form
    4,475,189.25/9,663,474.66 = 9,663,474.66/x
  3. Step 3: Cross multiply
    4,475,189.25x = 9,663,474.66 × 9,663,474.66
  4. Step 4: Simplify right side
    4,475,189.25x = 93,382,742,431,986.06
  5. Step 5: Solve for x
    x = 93,382,742,431,986.06/4,475,189.25
  6. Step 6: Final answer
    x = 20,866,769.47

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