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Finding the Third Proportional to 2,665,686 and 5,756,128

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Solution

The third proportional to 2,665,686 and 5,756,128 is: 12,429,449.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,665,686 : 5,756,128 = 5,756,128 : x
  2. Step 2: Convert to fraction form
    2,665,686/5,756,128 = 5,756,128/x
  3. Step 3: Cross multiply
    2,665,686x = 5,756,128 × 5,756,128
  4. Step 4: Simplify right side
    2,665,686x = 33,133,009,552,384
  5. Step 5: Solve for x
    x = 33,133,009,552,384/2,665,686
  6. Step 6: Final answer
    x = 12,429,449.51

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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.