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Finding the Third Proportional to 6,729,021 and 14,803,218

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Solution

The third proportional to 6,729,021 and 14,803,218 is: 32,565,697.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,729,021 : 14,803,218 = 14,803,218 : x
  2. Step 2: Convert to fraction form
    6,729,021/14,803,218 = 14,803,218/x
  3. Step 3: Cross multiply
    6,729,021x = 14,803,218 × 14,803,218
  4. Step 4: Simplify right side
    6,729,021x = 219,135,263,155,524
  5. Step 5: Solve for x
    x = 219,135,263,155,524/6,729,021
  6. Step 6: Final answer
    x = 32,565,697.62

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.