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Finding the Third Proportional to 57,539,997 and 123,241,878

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Solution

The third proportional to 57,539,997 and 123,241,878 is: 263,965,263.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,539,997 : 123,241,878 = 123,241,878 : x
  2. Step 2: Convert to fraction form
    57,539,997/123,241,878 = 123,241,878/x
  3. Step 3: Cross multiply
    57,539,997x = 123,241,878 × 123,241,878
  4. Step 4: Simplify right side
    57,539,997x = 15,188,560,492,966,884
  5. Step 5: Solve for x
    x = 15,188,560,492,966,884/57,539,997
  6. Step 6: Final answer
    x = 263,965,263.90

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.