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Finding the Third Proportional to 576,498,238,653 and 1,239,757,479,795

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Solution

The third proportional to 576,498,238,653 and 1,239,757,479,795 is: 2,666,094,197,093.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,498,238,653 : 1,239,757,479,795 = 1,239,757,479,795 : x
  2. Step 2: Convert to fraction form
    576,498,238,653/1,239,757,479,795 = 1,239,757,479,795/x
  3. Step 3: Cross multiply
    576,498,238,653x = 1,239,757,479,795 × 1,239,757,479,795
  4. Step 4: Simplify right side
    576,498,238,653x = 1,536,998,608,707,649,963,819,008
  5. Step 5: Solve for x
    x = 1,536,998,608,707,649,963,819,008/576,498,238,653
  6. Step 6: Final answer
    x = 2,666,094,197,093.96

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.