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Finding the Third Proportional to 575,505,165 and 1,265,801,586

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Solution

The third proportional to 575,505,165 and 1,265,801,586 is: 2,784,082,146.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,505,165 : 1,265,801,586 = 1,265,801,586 : x
  2. Step 2: Convert to fraction form
    575,505,165/1,265,801,586 = 1,265,801,586/x
  3. Step 3: Cross multiply
    575,505,165x = 1,265,801,586 × 1,265,801,586
  4. Step 4: Simplify right side
    575,505,165x = 1,602,253,655,120,115,456
  5. Step 5: Solve for x
    x = 1,602,253,655,120,115,456/575,505,165
  6. Step 6: Final answer
    x = 2,784,082,146.54

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.