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Finding the Third Proportional to 13,834,530 and 22,100,877

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Solution

The third proportional to 13,834,530 and 22,100,877 is: 35,306,494.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,834,530 : 22,100,877 = 22,100,877 : x
  2. Step 2: Convert to fraction form
    13,834,530/22,100,877 = 22,100,877/x
  3. Step 3: Cross multiply
    13,834,530x = 22,100,877 × 22,100,877
  4. Step 4: Simplify right side
    13,834,530x = 488,448,764,169,129
  5. Step 5: Solve for x
    x = 488,448,764,169,129/13,834,530
  6. Step 6: Final answer
    x = 35,306,494.99

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.