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Finding the Third Proportional to 9,945,180 and 14,954,809.50

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Solution

The third proportional to 9,945,180 and 14,954,809.50 is: 22,487,911.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,945,180 : 14,954,809.50 = 14,954,809.50 : x
  2. Step 2: Convert to fraction form
    9,945,180/14,954,809.50 = 14,954,809.50/x
  3. Step 3: Cross multiply
    9,945,180x = 14,954,809.50 × 14,954,809.50
  4. Step 4: Simplify right side
    9,945,180x = 223,646,327,181,290.25
  5. Step 5: Solve for x
    x = 223,646,327,181,290.25/9,945,180
  6. Step 6: Final answer
    x = 22,487,911.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.