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Finding the Third Proportional to 548,634,530 and 1,173,627,652

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Solution

The third proportional to 548,634,530 and 1,173,627,652 is: 2,510,600,026.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,634,530 : 1,173,627,652 = 1,173,627,652 : x
  2. Step 2: Convert to fraction form
    548,634,530/1,173,627,652 = 1,173,627,652/x
  3. Step 3: Cross multiply
    548,634,530x = 1,173,627,652 × 1,173,627,652
  4. Step 4: Simplify right side
    548,634,530x = 1,377,401,865,539,033,088
  5. Step 5: Solve for x
    x = 1,377,401,865,539,033,088/548,634,530
  6. Step 6: Final answer
    x = 2,510,600,026.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.