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Finding the Third Proportional to 9,174,775 and 12,858,384.75

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Solution

The third proportional to 9,174,775 and 12,858,384.75 is: 18,020,938.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,174,775 : 12,858,384.75 = 12,858,384.75 : x
  2. Step 2: Convert to fraction form
    9,174,775/12,858,384.75 = 12,858,384.75/x
  3. Step 3: Cross multiply
    9,174,775x = 12,858,384.75 × 12,858,384.75
  4. Step 4: Simplify right side
    9,174,775x = 165,338,058,379,032.56
  5. Step 5: Solve for x
    x = 165,338,058,379,032.56/9,174,775
  6. Step 6: Final answer
    x = 18,020,938.76

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.