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Finding the Third Proportional to 3,498,301,786 and 5,364,377,394

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Solution

The third proportional to 3,498,301,786 and 5,364,377,394 is: 8,225,861,170.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,498,301,786 : 5,364,377,394 = 5,364,377,394 : x
  2. Step 2: Convert to fraction form
    3,498,301,786/5,364,377,394 = 5,364,377,394/x
  3. Step 3: Cross multiply
    3,498,301,786x = 5,364,377,394 × 5,364,377,394
  4. Step 4: Simplify right side
    3,498,301,786x = 28,776,544,825,258,229,760
  5. Step 5: Solve for x
    x = 28,776,544,825,258,229,760/3,498,301,786
  6. Step 6: Final answer
    x = 8,225,861,170.82

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.