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Finding the Third Proportional to 2,569,770.56 and 5,713,975.41

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Solution

The third proportional to 2,569,770.56 and 5,713,975.41 is: 12,705,225.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,569,770.56 : 5,713,975.41 = 5,713,975.41 : x
  2. Step 2: Convert to fraction form
    2,569,770.56/5,713,975.41 = 5,713,975.41/x
  3. Step 3: Cross multiply
    2,569,770.56x = 5,713,975.41 × 5,713,975.41
  4. Step 4: Simplify right side
    2,569,770.56x = 32,649,514,943,229.85
  5. Step 5: Solve for x
    x = 32,649,514,943,229.85/2,569,770.56
  6. Step 6: Final answer
    x = 12,705,225.68

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.