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Finding the Third Proportional to 2,540,085.75 and 5,433,682.50

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Solution

The third proportional to 2,540,085.75 and 5,433,682.50 is: 11,623,586.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,540,085.75 : 5,433,682.50 = 5,433,682.50 : x
  2. Step 2: Convert to fraction form
    2,540,085.75/5,433,682.50 = 5,433,682.50/x
  3. Step 3: Cross multiply
    2,540,085.75x = 5,433,682.50 × 5,433,682.50
  4. Step 4: Simplify right side
    2,540,085.75x = 29,524,905,510,806.25
  5. Step 5: Solve for x
    x = 29,524,905,510,806.25/2,540,085.75
  6. Step 6: Final answer
    x = 11,623,586.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.