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Finding the Third Proportional to 566,311,902,285 and 1,213,400,976,162

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Solution

The third proportional to 566,311,902,285 and 1,213,400,976,162 is: 2,599,878,129,013.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,311,902,285 : 1,213,400,976,162 = 1,213,400,976,162 : x
  2. Step 2: Convert to fraction form
    566,311,902,285/1,213,400,976,162 = 1,213,400,976,162/x
  3. Step 3: Cross multiply
    566,311,902,285x = 1,213,400,976,162 × 1,213,400,976,162
  4. Step 4: Simplify right side
    566,311,902,285x = 1,472,341,928,950,894,488,977,408
  5. Step 5: Solve for x
    x = 1,472,341,928,950,894,488,977,408/566,311,902,285
  6. Step 6: Final answer
    x = 2,599,878,129,013.66

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.