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Finding the Third Proportional to 12,834,938 and 19,255,161

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Solution

The third proportional to 12,834,938 and 19,255,161 is: 28,886,873.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,834,938 : 19,255,161 = 19,255,161 : x
  2. Step 2: Convert to fraction form
    12,834,938/19,255,161 = 19,255,161/x
  3. Step 3: Cross multiply
    12,834,938x = 19,255,161 × 19,255,161
  4. Step 4: Simplify right side
    12,834,938x = 370,761,225,135,921
  5. Step 5: Solve for x
    x = 370,761,225,135,921/12,834,938
  6. Step 6: Final answer
    x = 28,886,873.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.