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Finding the Third Proportional to 127,949,570,468 and 281,488,607,503

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Solution

The third proportional to 127,949,570,468 and 281,488,607,503 is: 619,273,951,949.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,949,570,468 : 281,488,607,503 = 281,488,607,503 : x
  2. Step 2: Convert to fraction form
    127,949,570,468/281,488,607,503 = 281,488,607,503/x
  3. Step 3: Cross multiply
    127,949,570,468x = 281,488,607,503 × 281,488,607,503
  4. Step 4: Simplify right side
    127,949,570,468x = 79,235,836,153,977,993,428,992
  5. Step 5: Solve for x
    x = 79,235,836,153,977,993,428,992/127,949,570,468
  6. Step 6: Final answer
    x = 619,273,951,949.65

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.