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Finding the Third Proportional to 57,637,122 and 123,511,579.50

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Solution

The third proportional to 57,637,122 and 123,511,579.50 is: 264,675,086.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,637,122 : 123,511,579.50 = 123,511,579.50 : x
  2. Step 2: Convert to fraction form
    57,637,122/123,511,579.50 = 123,511,579.50/x
  3. Step 3: Cross multiply
    57,637,122x = 123,511,579.50 × 123,511,579.50
  4. Step 4: Simplify right side
    57,637,122x = 15,255,110,270,584,820
  5. Step 5: Solve for x
    x = 15,255,110,270,584,820/57,637,122
  6. Step 6: Final answer
    x = 264,675,086.84

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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.