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Finding the Third Proportional to 6,481,878 and 14,130,092

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Solution

The third proportional to 6,481,878 and 14,130,092 is: 30,802,724.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,481,878 : 14,130,092 = 14,130,092 : x
  2. Step 2: Convert to fraction form
    6,481,878/14,130,092 = 14,130,092/x
  3. Step 3: Cross multiply
    6,481,878x = 14,130,092 × 14,130,092
  4. Step 4: Simplify right side
    6,481,878x = 199,659,499,928,464
  5. Step 5: Solve for x
    x = 199,659,499,928,464/6,481,878
  6. Step 6: Final answer
    x = 30,802,724.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.