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Finding the Third Proportional to 7,975,178 and 12,372,845

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Solution

The third proportional to 7,975,178 and 12,372,845 is: 19,195,470.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,975,178 : 12,372,845 = 12,372,845 : x
  2. Step 2: Convert to fraction form
    7,975,178/12,372,845 = 12,372,845/x
  3. Step 3: Cross multiply
    7,975,178x = 12,372,845 × 12,372,845
  4. Step 4: Simplify right side
    7,975,178x = 153,087,293,394,025
  5. Step 5: Solve for x
    x = 153,087,293,394,025/7,975,178
  6. Step 6: Final answer
    x = 19,195,470.42

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.