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Finding the Third Proportional to 767,271,082.50 and 1,121,777,160.75

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Solution

The third proportional to 767,271,082.50 and 1,121,777,160.75 is: 1,640,077,447.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,271,082.50 : 1,121,777,160.75 = 1,121,777,160.75 : x
  2. Step 2: Convert to fraction form
    767,271,082.50/1,121,777,160.75 = 1,121,777,160.75/x
  3. Step 3: Cross multiply
    767,271,082.50x = 1,121,777,160.75 × 1,121,777,160.75
  4. Step 4: Simplify right side
    767,271,082.50x = 1,258,383,998,380,331,264
  5. Step 5: Solve for x
    x = 1,258,383,998,380,331,264/767,271,082.50
  6. Step 6: Final answer
    x = 1,640,077,447.31

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.