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Finding the Third Proportional to 3,775,512,474 and 5,249,548,308

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Solution

The third proportional to 3,775,512,474 and 5,249,548,308 is: 7,299,077,311.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,775,512,474 : 5,249,548,308 = 5,249,548,308 : x
  2. Step 2: Convert to fraction form
    3,775,512,474/5,249,548,308 = 5,249,548,308/x
  3. Step 3: Cross multiply
    3,775,512,474x = 5,249,548,308 × 5,249,548,308
  4. Step 4: Simplify right side
    3,775,512,474x = 27,557,757,438,025,662,464
  5. Step 5: Solve for x
    x = 27,557,757,438,025,662,464/3,775,512,474
  6. Step 6: Final answer
    x = 7,299,077,311.44

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.