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Finding the Third Proportional to 6,235,280 and 14,568,436

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Solution

The third proportional to 6,235,280 and 14,568,436 is: 34,038,459.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,235,280 : 14,568,436 = 14,568,436 : x
  2. Step 2: Convert to fraction form
    6,235,280/14,568,436 = 14,568,436/x
  3. Step 3: Cross multiply
    6,235,280x = 14,568,436 × 14,568,436
  4. Step 4: Simplify right side
    6,235,280x = 212,239,327,486,096
  5. Step 5: Solve for x
    x = 212,239,327,486,096/6,235,280
  6. Step 6: Final answer
    x = 34,038,459.78

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.