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Finding the Third Proportional to 2,481,034.50 and 5,374,406.63

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Solution

The third proportional to 2,481,034.50 and 5,374,406.63 is: 11,642,017.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,481,034.50 : 5,374,406.63 = 5,374,406.63 : x
  2. Step 2: Convert to fraction form
    2,481,034.50/5,374,406.63 = 5,374,406.63/x
  3. Step 3: Cross multiply
    2,481,034.50x = 5,374,406.63 × 5,374,406.63
  4. Step 4: Simplify right side
    2,481,034.50x = 28,884,246,570,843.89
  5. Step 5: Solve for x
    x = 28,884,246,570,843.89/2,481,034.50
  6. Step 6: Final answer
    x = 11,642,017.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.