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Finding the Third Proportional to 127,949,570,464.50 and 281,488,607,496

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Solution

The third proportional to 127,949,570,464.50 and 281,488,607,496 is: 619,273,951,935.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,949,570,464.50 : 281,488,607,496 = 281,488,607,496 : x
  2. Step 2: Convert to fraction form
    127,949,570,464.50/281,488,607,496 = 281,488,607,496/x
  3. Step 3: Cross multiply
    127,949,570,464.50x = 281,488,607,496 × 281,488,607,496
  4. Step 4: Simplify right side
    127,949,570,464.50x = 79,235,836,150,037,142,831,104
  5. Step 5: Solve for x
    x = 79,235,836,150,037,142,831,104/127,949,570,464.50
  6. Step 6: Final answer
    x = 619,273,951,935.79

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