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Finding the Third Proportional to 7,740,906 and 10,826,949

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Solution

The third proportional to 7,740,906 and 10,826,949 is: 15,143,295.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,740,906 : 10,826,949 = 10,826,949 : x
  2. Step 2: Convert to fraction form
    7,740,906/10,826,949 = 10,826,949/x
  3. Step 3: Cross multiply
    7,740,906x = 10,826,949 × 10,826,949
  4. Step 4: Simplify right side
    7,740,906x = 117,222,824,648,601
  5. Step 5: Solve for x
    x = 117,222,824,648,601/7,740,906
  6. Step 6: Final answer
    x = 15,143,295.20

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