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Finding the Third Proportional to 11,742,052 and 16,535,390

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Solution

The third proportional to 11,742,052 and 16,535,390 is: 23,285,463.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,742,052 : 16,535,390 = 16,535,390 : x
  2. Step 2: Convert to fraction form
    11,742,052/16,535,390 = 16,535,390/x
  3. Step 3: Cross multiply
    11,742,052x = 16,535,390 × 16,535,390
  4. Step 4: Simplify right side
    11,742,052x = 273,419,122,452,100
  5. Step 5: Solve for x
    x = 273,419,122,452,100/11,742,052
  6. Step 6: Final answer
    x = 23,285,463.43

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.