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Finding the Third Proportional to 6,481,090 and 14,182,116

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Solution

The third proportional to 6,481,090 and 14,182,116 is: 31,033,732.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,481,090 : 14,182,116 = 14,182,116 : x
  2. Step 2: Convert to fraction form
    6,481,090/14,182,116 = 14,182,116/x
  3. Step 3: Cross multiply
    6,481,090x = 14,182,116 × 14,182,116
  4. Step 4: Simplify right side
    6,481,090x = 201,132,414,237,456
  5. Step 5: Solve for x
    x = 201,132,414,237,456/6,481,090
  6. Step 6: Final answer
    x = 31,033,732.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.