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Finding the Third Proportional to 8,562,484 and 11,741,472

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Solution

The third proportional to 8,562,484 and 11,741,472 is: 16,100,720.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,562,484 : 11,741,472 = 11,741,472 : x
  2. Step 2: Convert to fraction form
    8,562,484/11,741,472 = 11,741,472/x
  3. Step 3: Cross multiply
    8,562,484x = 11,741,472 × 11,741,472
  4. Step 4: Simplify right side
    8,562,484x = 137,862,164,726,784
  5. Step 5: Solve for x
    x = 137,862,164,726,784/8,562,484
  6. Step 6: Final answer
    x = 16,100,720.86

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.