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Finding the Third Proportional to 10,917,996.75 and 23,369,667.75

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Solution

The third proportional to 10,917,996.75 and 23,369,667.75 is: 50,022,122.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,917,996.75 : 23,369,667.75 = 23,369,667.75 : x
  2. Step 2: Convert to fraction form
    10,917,996.75/23,369,667.75 = 23,369,667.75/x
  3. Step 3: Cross multiply
    10,917,996.75x = 23,369,667.75 × 23,369,667.75
  4. Step 4: Simplify right side
    10,917,996.75x = 546,141,370,745,390.06
  5. Step 5: Solve for x
    x = 546,141,370,745,390.06/10,917,996.75
  6. Step 6: Final answer
    x = 50,022,122.49

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.