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Finding the Third Proportional to 277,797,195 and 592,489,080

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Solution

The third proportional to 277,797,195 and 592,489,080 is: 1,263,667,582.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,797,195 : 592,489,080 = 592,489,080 : x
  2. Step 2: Convert to fraction form
    277,797,195/592,489,080 = 592,489,080/x
  3. Step 3: Cross multiply
    277,797,195x = 592,489,080 × 592,489,080
  4. Step 4: Simplify right side
    277,797,195x = 351,043,309,919,246,400
  5. Step 5: Solve for x
    x = 351,043,309,919,246,400/277,797,195
  6. Step 6: Final answer
    x = 1,263,667,582.82

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.