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Finding the Third Proportional to 6,377,108,709 and 8,976,461,067

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Solution

The third proportional to 6,377,108,709 and 8,976,461,067 is: 12,635,326,911.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,377,108,709 : 8,976,461,067 = 8,976,461,067 : x
  2. Step 2: Convert to fraction form
    6,377,108,709/8,976,461,067 = 8,976,461,067/x
  3. Step 3: Cross multiply
    6,377,108,709x = 8,976,461,067 × 8,976,461,067
  4. Step 4: Simplify right side
    6,377,108,709x = 80,576,853,287,366,770,688
  5. Step 5: Solve for x
    x = 80,576,853,287,366,770,688/6,377,108,709
  6. Step 6: Final answer
    x = 12,635,326,911.34

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.