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Finding the Third Proportional to 10,903,362.75 and 23,787,174

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Solution

The third proportional to 10,903,362.75 and 23,787,174 is: 51,894,966.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,903,362.75 : 23,787,174 = 23,787,174 : x
  2. Step 2: Convert to fraction form
    10,903,362.75/23,787,174 = 23,787,174/x
  3. Step 3: Cross multiply
    10,903,362.75x = 23,787,174 × 23,787,174
  4. Step 4: Simplify right side
    10,903,362.75x = 565,829,646,906,276
  5. Step 5: Solve for x
    x = 565,829,646,906,276/10,903,362.75
  6. Step 6: Final answer
    x = 51,894,966.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.