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Finding the Third Proportional to 54,419,072 and 118,403,672

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Solution

The third proportional to 54,419,072 and 118,403,672 is: 257,619,783.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,419,072 : 118,403,672 = 118,403,672 : x
  2. Step 2: Convert to fraction form
    54,419,072/118,403,672 = 118,403,672/x
  3. Step 3: Cross multiply
    54,419,072x = 118,403,672 × 118,403,672
  4. Step 4: Simplify right side
    54,419,072x = 14,019,429,543,083,584
  5. Step 5: Solve for x
    x = 14,019,429,543,083,584/54,419,072
  6. Step 6: Final answer
    x = 257,619,783.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.