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Finding the Third Proportional to 126,431,960 and 275,836,032

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Solution

The third proportional to 126,431,960 and 275,836,032 is: 601,790,216.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,431,960 : 275,836,032 = 275,836,032 : x
  2. Step 2: Convert to fraction form
    126,431,960/275,836,032 = 275,836,032/x
  3. Step 3: Cross multiply
    126,431,960x = 275,836,032 × 275,836,032
  4. Step 4: Simplify right side
    126,431,960x = 76,085,516,549,505,024
  5. Step 5: Solve for x
    x = 76,085,516,549,505,024/126,431,960
  6. Step 6: Final answer
    x = 601,790,216.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.