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Finding the Third Proportional to 54,539,397 and 76,529,571.75

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Solution

The third proportional to 54,539,397 and 76,529,571.75 is: 107,386,140.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,539,397 : 76,529,571.75 = 76,529,571.75 : x
  2. Step 2: Convert to fraction form
    54,539,397/76,529,571.75 = 76,529,571.75/x
  3. Step 3: Cross multiply
    54,539,397x = 76,529,571.75 × 76,529,571.75
  4. Step 4: Simplify right side
    54,539,397x = 5,856,775,352,238,398
  5. Step 5: Solve for x
    x = 5,856,775,352,238,398/54,539,397
  6. Step 6: Final answer
    x = 107,386,140.56

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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.