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Finding the Third Proportional to 576,915,642 and 1,241,309,124

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Solution

The third proportional to 576,915,642 and 1,241,309,124 is: 2,670,838,211.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,915,642 : 1,241,309,124 = 1,241,309,124 : x
  2. Step 2: Convert to fraction form
    576,915,642/1,241,309,124 = 1,241,309,124/x
  3. Step 3: Cross multiply
    576,915,642x = 1,241,309,124 × 1,241,309,124
  4. Step 4: Simplify right side
    576,915,642x = 1,540,848,341,325,647,360
  5. Step 5: Solve for x
    x = 1,540,848,341,325,647,360/576,915,642
  6. Step 6: Final answer
    x = 2,670,838,211.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.