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Finding the Third Proportional to 54,212,925 and 82,589,862

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Solution

The third proportional to 54,212,925 and 82,589,862 is: 125,820,278.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,212,925 : 82,589,862 = 82,589,862 : x
  2. Step 2: Convert to fraction form
    54,212,925/82,589,862 = 82,589,862/x
  3. Step 3: Cross multiply
    54,212,925x = 82,589,862 × 82,589,862
  4. Step 4: Simplify right side
    54,212,925x = 6,821,085,305,179,044
  5. Step 5: Solve for x
    x = 6,821,085,305,179,044/54,212,925
  6. Step 6: Final answer
    x = 125,820,278.19

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.