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Finding the Third Proportional to 8,144,784 and 16,083,932

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Solution

The third proportional to 8,144,784 and 16,083,932 is: 31,761,783.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,144,784 : 16,083,932 = 16,083,932 : x
  2. Step 2: Convert to fraction form
    8,144,784/16,083,932 = 16,083,932/x
  3. Step 3: Cross multiply
    8,144,784x = 16,083,932 × 16,083,932
  4. Step 4: Simplify right side
    8,144,784x = 258,692,868,580,624
  5. Step 5: Solve for x
    x = 258,692,868,580,624/8,144,784
  6. Step 6: Final answer
    x = 31,761,783.81

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.