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Finding the Third Proportional to 10,993,974.75 and 23,691,956.63

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Solution

The third proportional to 10,993,974.75 and 23,691,956.63 is: 51,056,039.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,993,974.75 : 23,691,956.63 = 23,691,956.63 : x
  2. Step 2: Convert to fraction form
    10,993,974.75/23,691,956.63 = 23,691,956.63/x
  3. Step 3: Cross multiply
    10,993,974.75x = 23,691,956.63 × 23,691,956.63
  4. Step 4: Simplify right side
    10,993,974.75x = 561,308,808,720,881.38
  5. Step 5: Solve for x
    x = 561,308,808,720,881.38/10,993,974.75
  6. Step 6: Final answer
    x = 51,056,039.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.