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Finding the Third Proportional to 2,364,952.50 and 5,187,714.75

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Solution

The third proportional to 2,364,952.50 and 5,187,714.75 is: 11,379,672.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,364,952.50 : 5,187,714.75 = 5,187,714.75 : x
  2. Step 2: Convert to fraction form
    2,364,952.50/5,187,714.75 = 5,187,714.75/x
  3. Step 3: Cross multiply
    2,364,952.50x = 5,187,714.75 × 5,187,714.75
  4. Step 4: Simplify right side
    2,364,952.50x = 26,912,384,327,367.56
  5. Step 5: Solve for x
    x = 26,912,384,327,367.56/2,364,952.50
  6. Step 6: Final answer
    x = 11,379,672.25

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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.