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Finding the Third Proportional to 576,914,400 and 1,360,512,288

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Solution

The third proportional to 576,914,400 and 1,360,512,288 is: 3,208,437,310.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,914,400 : 1,360,512,288 = 1,360,512,288 : x
  2. Step 2: Convert to fraction form
    576,914,400/1,360,512,288 = 1,360,512,288/x
  3. Step 3: Cross multiply
    576,914,400x = 1,360,512,288 × 1,360,512,288
  4. Step 4: Simplify right side
    576,914,400x = 1,850,993,685,798,994,944
  5. Step 5: Solve for x
    x = 1,850,993,685,798,994,944/576,914,400
  6. Step 6: Final answer
    x = 3,208,437,310.28

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.