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Finding the Third Proportional to 2,649,064.50 and 5,702,450.63

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Solution

The third proportional to 2,649,064.50 and 5,702,450.63 is: 12,275,255.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,649,064.50 : 5,702,450.63 = 5,702,450.63 : x
  2. Step 2: Convert to fraction form
    2,649,064.50/5,702,450.63 = 5,702,450.63/x
  3. Step 3: Cross multiply
    2,649,064.50x = 5,702,450.63 × 5,702,450.63
  4. Step 4: Simplify right side
    2,649,064.50x = 32,517,943,130,562.89
  5. Step 5: Solve for x
    x = 32,517,943,130,562.89/2,649,064.50
  6. Step 6: Final answer
    x = 12,275,255.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.