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Finding the Third Proportional to 9,180,758 and 14,166,147

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Solution

The third proportional to 9,180,758 and 14,166,147 is: 21,858,731.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,180,758 : 14,166,147 = 14,166,147 : x
  2. Step 2: Convert to fraction form
    9,180,758/14,166,147 = 14,166,147/x
  3. Step 3: Cross multiply
    9,180,758x = 14,166,147 × 14,166,147
  4. Step 4: Simplify right side
    9,180,758x = 200,679,720,825,609
  5. Step 5: Solve for x
    x = 200,679,720,825,609/9,180,758
  6. Step 6: Final answer
    x = 21,858,731.14

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.