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Finding the Third Proportional to 54,299,544 and 75,954,438

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Solution

The third proportional to 54,299,544 and 75,954,438 is: 106,245,397.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,299,544 : 75,954,438 = 75,954,438 : x
  2. Step 2: Convert to fraction form
    54,299,544/75,954,438 = 75,954,438/x
  3. Step 3: Cross multiply
    54,299,544x = 75,954,438 × 75,954,438
  4. Step 4: Simplify right side
    54,299,544x = 5,769,076,651,895,844
  5. Step 5: Solve for x
    x = 5,769,076,651,895,844/54,299,544
  6. Step 6: Final answer
    x = 106,245,397.79

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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.