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Finding the Third Proportional to 7,059,105 and 14,965,812

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Solution

The third proportional to 7,059,105 and 14,965,812 is: 31,728,601.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,059,105 : 14,965,812 = 14,965,812 : x
  2. Step 2: Convert to fraction form
    7,059,105/14,965,812 = 14,965,812/x
  3. Step 3: Cross multiply
    7,059,105x = 14,965,812 × 14,965,812
  4. Step 4: Simplify right side
    7,059,105x = 223,975,528,819,344
  5. Step 5: Solve for x
    x = 223,975,528,819,344/7,059,105
  6. Step 6: Final answer
    x = 31,728,601.40

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.