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Finding the Third Proportional to 6,286,229 and 13,723,918

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Solution

The third proportional to 6,286,229 and 13,723,918 is: 29,961,671.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,286,229 : 13,723,918 = 13,723,918 : x
  2. Step 2: Convert to fraction form
    6,286,229/13,723,918 = 13,723,918/x
  3. Step 3: Cross multiply
    6,286,229x = 13,723,918 × 13,723,918
  4. Step 4: Simplify right side
    6,286,229x = 188,345,925,270,724
  5. Step 5: Solve for x
    x = 188,345,925,270,724/6,286,229
  6. Step 6: Final answer
    x = 29,961,671.02

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.