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Finding the Third Proportional to 2,569,029 and 5,595,745.50

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Solution

The third proportional to 2,569,029 and 5,595,745.50 is: 12,188,405.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,569,029 : 5,595,745.50 = 5,595,745.50 : x
  2. Step 2: Convert to fraction form
    2,569,029/5,595,745.50 = 5,595,745.50/x
  3. Step 3: Cross multiply
    2,569,029x = 5,595,745.50 × 5,595,745.50
  4. Step 4: Simplify right side
    2,569,029x = 31,312,367,700,770.25
  5. Step 5: Solve for x
    x = 31,312,367,700,770.25/2,569,029
  6. Step 6: Final answer
    x = 12,188,405.70

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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.