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Finding the Third Proportional to 548,634,532 and 1,173,627,656

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Solution

The third proportional to 548,634,532 and 1,173,627,656 is: 2,510,600,034.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,634,532 : 1,173,627,656 = 1,173,627,656 : x
  2. Step 2: Convert to fraction form
    548,634,532/1,173,627,656 = 1,173,627,656/x
  3. Step 3: Cross multiply
    548,634,532x = 1,173,627,656 × 1,173,627,656
  4. Step 4: Simplify right side
    548,634,532x = 1,377,401,874,928,054,272
  5. Step 5: Solve for x
    x = 1,377,401,874,928,054,272/548,634,532
  6. Step 6: Final answer
    x = 2,510,600,034.43

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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.