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Finding the Third Proportional to 3,142,496.25 and 5,020,896.38

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Solution

The third proportional to 3,142,496.25 and 5,020,896.38 is: 8,022,094.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,142,496.25 : 5,020,896.38 = 5,020,896.38 : x
  2. Step 2: Convert to fraction form
    3,142,496.25/5,020,896.38 = 5,020,896.38/x
  3. Step 3: Cross multiply
    3,142,496.25x = 5,020,896.38 × 5,020,896.38
  4. Step 4: Simplify right side
    3,142,496.25x = 25,209,400,408,488.14
  5. Step 5: Solve for x
    x = 25,209,400,408,488.14/3,142,496.25
  6. Step 6: Final answer
    x = 8,022,094.03

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.