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Finding the Third Proportional to 35,800,290 and 77,305,257

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Solution

The third proportional to 35,800,290 and 77,305,257 is: 166,928,892.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,800,290 : 77,305,257 = 77,305,257 : x
  2. Step 2: Convert to fraction form
    35,800,290/77,305,257 = 77,305,257/x
  3. Step 3: Cross multiply
    35,800,290x = 77,305,257 × 77,305,257
  4. Step 4: Simplify right side
    35,800,290x = 5,976,102,759,836,049
  5. Step 5: Solve for x
    x = 5,976,102,759,836,049/35,800,290
  6. Step 6: Final answer
    x = 166,928,892.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.