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Finding the Third Proportional to 4,580,823,853,866 and 9,965,903,647,644

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Solution

The third proportional to 4,580,823,853,866 and 9,965,903,647,644 is: 21,681,522,512,659.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,580,823,853,866 : 9,965,903,647,644 = 9,965,903,647,644 : x
  2. Step 2: Convert to fraction form
    4,580,823,853,866/9,965,903,647,644 = 9,965,903,647,644/x
  3. Step 3: Cross multiply
    4,580,823,853,866x = 9,965,903,647,644 × 9,965,903,647,644
  4. Step 4: Simplify right side
    4,580,823,853,866x = 99,319,235,514,123,990,677,323,776
  5. Step 5: Solve for x
    x = 99,319,235,514,123,990,677,323,776/4,580,823,853,866
  6. Step 6: Final answer
    x = 21,681,522,512,659.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.