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Finding the Third Proportional to 13,082,877 and 19,496,688.75

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Solution

The third proportional to 13,082,877 and 19,496,688.75 is: 29,054,838.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,082,877 : 19,496,688.75 = 19,496,688.75 : x
  2. Step 2: Convert to fraction form
    13,082,877/19,496,688.75 = 19,496,688.75/x
  3. Step 3: Cross multiply
    13,082,877x = 19,496,688.75 × 19,496,688.75
  4. Step 4: Simplify right side
    13,082,877x = 380,120,872,214,376.56
  5. Step 5: Solve for x
    x = 380,120,872,214,376.56/13,082,877
  6. Step 6: Final answer
    x = 29,054,838.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.