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Finding the Third Proportional to 19,400,148 and 26,974,093.50

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Solution

The third proportional to 19,400,148 and 26,974,093.50 is: 37,504,957.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,400,148 : 26,974,093.50 = 26,974,093.50 : x
  2. Step 2: Convert to fraction form
    19,400,148/26,974,093.50 = 26,974,093.50/x
  3. Step 3: Cross multiply
    19,400,148x = 26,974,093.50 × 26,974,093.50
  4. Step 4: Simplify right side
    19,400,148x = 727,601,720,146,742.25
  5. Step 5: Solve for x
    x = 727,601,720,146,742.25/19,400,148
  6. Step 6: Final answer
    x = 37,504,957.19

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.