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Finding the Third Proportional to 575,505,164 and 1,265,801,584

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Solution

The third proportional to 575,505,164 and 1,265,801,584 is: 2,784,082,142.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,505,164 : 1,265,801,584 = 1,265,801,584 : x
  2. Step 2: Convert to fraction form
    575,505,164/1,265,801,584 = 1,265,801,584/x
  3. Step 3: Cross multiply
    575,505,164x = 1,265,801,584 × 1,265,801,584
  4. Step 4: Simplify right side
    575,505,164x = 1,602,253,650,056,909,056
  5. Step 5: Solve for x
    x = 1,602,253,650,056,909,056/575,505,164
  6. Step 6: Final answer
    x = 2,784,082,142.58

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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.