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Finding the Third Proportional to 11,278,096 and 16,920,600

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Solution

The third proportional to 11,278,096 and 16,920,600 is: 25,386,085.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,278,096 : 16,920,600 = 16,920,600 : x
  2. Step 2: Convert to fraction form
    11,278,096/16,920,600 = 16,920,600/x
  3. Step 3: Cross multiply
    11,278,096x = 16,920,600 × 16,920,600
  4. Step 4: Simplify right side
    11,278,096x = 286,306,704,360,000
  5. Step 5: Solve for x
    x = 286,306,704,360,000/11,278,096
  6. Step 6: Final answer
    x = 25,386,085.06

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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.