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Finding the Third Proportional to 2,814,760 and 6,177,564

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Solution

The third proportional to 2,814,760 and 6,177,564 is: 13,557,922.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,814,760 : 6,177,564 = 6,177,564 : x
  2. Step 2: Convert to fraction form
    2,814,760/6,177,564 = 6,177,564/x
  3. Step 3: Cross multiply
    2,814,760x = 6,177,564 × 6,177,564
  4. Step 4: Simplify right side
    2,814,760x = 38,162,296,974,096
  5. Step 5: Solve for x
    x = 38,162,296,974,096/2,814,760
  6. Step 6: Final answer
    x = 13,557,922.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.