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Finding the Third Proportional to 9,171,460 and 13,780,302

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Solution

The third proportional to 9,171,460 and 13,780,302 is: 20,705,179.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,171,460 : 13,780,302 = 13,780,302 : x
  2. Step 2: Convert to fraction form
    9,171,460/13,780,302 = 13,780,302/x
  3. Step 3: Cross multiply
    9,171,460x = 13,780,302 × 13,780,302
  4. Step 4: Simplify right side
    9,171,460x = 189,896,723,211,204
  5. Step 5: Solve for x
    x = 189,896,723,211,204/9,171,460
  6. Step 6: Final answer
    x = 20,705,179.24

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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.