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Finding the Third Proportional to 9,171,452 and 13,780,290

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Solution

The third proportional to 9,171,452 and 13,780,290 is: 20,705,161.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,171,452 : 13,780,290 = 13,780,290 : x
  2. Step 2: Convert to fraction form
    9,171,452/13,780,290 = 13,780,290/x
  3. Step 3: Cross multiply
    9,171,452x = 13,780,290 × 13,780,290
  4. Step 4: Simplify right side
    9,171,452x = 189,896,392,484,100
  5. Step 5: Solve for x
    x = 189,896,392,484,100/9,171,452
  6. Step 6: Final answer
    x = 20,705,161.24

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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.