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Finding the Third Proportional to 6,959,580 and 10,647,376

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Solution

The third proportional to 6,959,580 and 10,647,376 is: 16,289,289.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,959,580 : 10,647,376 = 10,647,376 : x
  2. Step 2: Convert to fraction form
    6,959,580/10,647,376 = 10,647,376/x
  3. Step 3: Cross multiply
    6,959,580x = 10,647,376 × 10,647,376
  4. Step 4: Simplify right side
    6,959,580x = 113,366,615,685,376
  5. Step 5: Solve for x
    x = 113,366,615,685,376/6,959,580
  6. Step 6: Final answer
    x = 16,289,289.83

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.