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Finding the Third Proportional to 11,438,496 and 17,665,128

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Solution

The third proportional to 11,438,496 and 17,665,128 is: 27,281,274.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,438,496 : 17,665,128 = 17,665,128 : x
  2. Step 2: Convert to fraction form
    11,438,496/17,665,128 = 17,665,128/x
  3. Step 3: Cross multiply
    11,438,496x = 17,665,128 × 17,665,128
  4. Step 4: Simplify right side
    11,438,496x = 312,056,747,256,384
  5. Step 5: Solve for x
    x = 312,056,747,256,384/11,438,496
  6. Step 6: Final answer
    x = 27,281,274.33

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.