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Finding the Third Proportional to 2,253,756.66 and 5,314,861.83

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Solution

The third proportional to 2,253,756.66 and 5,314,861.83 is: 12,533,631.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,253,756.66 : 5,314,861.83 = 5,314,861.83 : x
  2. Step 2: Convert to fraction form
    2,253,756.66/5,314,861.83 = 5,314,861.83/x
  3. Step 3: Cross multiply
    2,253,756.66x = 5,314,861.83 × 5,314,861.83
  4. Step 4: Simplify right side
    2,253,756.66x = 28,247,756,252,060.22
  5. Step 5: Solve for x
    x = 28,247,756,252,060.22/2,253,756.66
  6. Step 6: Final answer
    x = 12,533,631.87

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.