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Finding the Third Proportional to 57,549,683 and 120,419,878

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Solution

The third proportional to 57,549,683 and 120,419,878 is: 251,972,665.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,549,683 : 120,419,878 = 120,419,878 : x
  2. Step 2: Convert to fraction form
    57,549,683/120,419,878 = 120,419,878/x
  3. Step 3: Cross multiply
    57,549,683x = 120,419,878 × 120,419,878
  4. Step 4: Simplify right side
    57,549,683x = 14,500,947,017,534,884
  5. Step 5: Solve for x
    x = 14,500,947,017,534,884/57,549,683
  6. Step 6: Final answer
    x = 251,972,665.38

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.