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Finding the Third Proportional to 6,431,384 and 10,237,476

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Solution

The third proportional to 6,431,384 and 10,237,476 is: 16,296,012.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,431,384 : 10,237,476 = 10,237,476 : x
  2. Step 2: Convert to fraction form
    6,431,384/10,237,476 = 10,237,476/x
  3. Step 3: Cross multiply
    6,431,384x = 10,237,476 × 10,237,476
  4. Step 4: Simplify right side
    6,431,384x = 104,805,914,850,576
  5. Step 5: Solve for x
    x = 104,805,914,850,576/6,431,384
  6. Step 6: Final answer
    x = 16,296,012.62

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.