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Finding the Third Proportional to 6,959,574 and 10,647,369

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Solution

The third proportional to 6,959,574 and 10,647,369 is: 16,289,282.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,959,574 : 10,647,369 = 10,647,369 : x
  2. Step 2: Convert to fraction form
    6,959,574/10,647,369 = 10,647,369/x
  3. Step 3: Cross multiply
    6,959,574x = 10,647,369 × 10,647,369
  4. Step 4: Simplify right side
    6,959,574x = 113,366,466,622,161
  5. Step 5: Solve for x
    x = 113,366,466,622,161/6,959,574
  6. Step 6: Final answer
    x = 16,289,282.45

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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.