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Finding the Third Proportional to 4,580,823,853,861.50 and 9,965,903,647,641

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Solution

The third proportional to 4,580,823,853,861.50 and 9,965,903,647,641 is: 21,681,522,512,667.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,580,823,853,861.50 : 9,965,903,647,641 = 9,965,903,647,641 : x
  2. Step 2: Convert to fraction form
    4,580,823,853,861.50/9,965,903,647,641 = 9,965,903,647,641/x
  3. Step 3: Cross multiply
    4,580,823,853,861.50x = 9,965,903,647,641 × 9,965,903,647,641
  4. Step 4: Simplify right side
    4,580,823,853,861.50x = 99,319,235,514,064,187,552,694,272
  5. Step 5: Solve for x
    x = 99,319,235,514,064,187,552,694,272/4,580,823,853,861.50
  6. Step 6: Final answer
    x = 21,681,522,512,667.89

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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.