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Finding the Third Proportional to 6,829,326 and 10,289,025

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Solution

The third proportional to 6,829,326 and 10,289,025 is: 15,501,388.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,829,326 : 10,289,025 = 10,289,025 : x
  2. Step 2: Convert to fraction form
    6,829,326/10,289,025 = 10,289,025/x
  3. Step 3: Cross multiply
    6,829,326x = 10,289,025 × 10,289,025
  4. Step 4: Simplify right side
    6,829,326x = 105,864,035,450,625
  5. Step 5: Solve for x
    x = 105,864,035,450,625/6,829,326
  6. Step 6: Final answer
    x = 15,501,388.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.