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Finding the Third Proportional to 2,724,318.56 and 5,780,719.41

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Solution

The third proportional to 2,724,318.56 and 5,780,719.41 is: 12,266,082.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,724,318.56 : 5,780,719.41 = 5,780,719.41 : x
  2. Step 2: Convert to fraction form
    2,724,318.56/5,780,719.41 = 5,780,719.41/x
  3. Step 3: Cross multiply
    2,724,318.56x = 5,780,719.41 × 5,780,719.41
  4. Step 4: Simplify right side
    2,724,318.56x = 33,416,716,853,795.35
  5. Step 5: Solve for x
    x = 33,416,716,853,795.35/2,724,318.56
  6. Step 6: Final answer
    x = 12,266,082.72

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.