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Finding the Third Proportional to 23,274,013.50 and 49,384,971

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Solution

The third proportional to 23,274,013.50 and 49,384,971 is: 104,789,634.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,274,013.50 : 49,384,971 = 49,384,971 : x
  2. Step 2: Convert to fraction form
    23,274,013.50/49,384,971 = 49,384,971/x
  3. Step 3: Cross multiply
    23,274,013.50x = 49,384,971 × 49,384,971
  4. Step 4: Simplify right side
    23,274,013.50x = 2,438,875,360,670,841
  5. Step 5: Solve for x
    x = 2,438,875,360,670,841/23,274,013.50
  6. Step 6: Final answer
    x = 104,789,634.18

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.