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Finding the Third Proportional to 5,414,944.50 and 8,123,483.25

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Solution

The third proportional to 5,414,944.50 and 8,123,483.25 is: 12,186,824.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,414,944.50 : 8,123,483.25 = 8,123,483.25 : x
  2. Step 2: Convert to fraction form
    5,414,944.50/8,123,483.25 = 8,123,483.25/x
  3. Step 3: Cross multiply
    5,414,944.50x = 8,123,483.25 × 8,123,483.25
  4. Step 4: Simplify right side
    5,414,944.50x = 65,990,980,113,030.56
  5. Step 5: Solve for x
    x = 65,990,980,113,030.56/5,414,944.50
  6. Step 6: Final answer
    x = 12,186,824.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.