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Finding the Third Proportional to 19,231,834,802 and 41,774,321,690

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Solution

The third proportional to 19,231,834,802 and 41,774,321,690 is: 90,739,857,669.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,231,834,802 : 41,774,321,690 = 41,774,321,690 : x
  2. Step 2: Convert to fraction form
    19,231,834,802/41,774,321,690 = 41,774,321,690/x
  3. Step 3: Cross multiply
    19,231,834,802x = 41,774,321,690 × 41,774,321,690
  4. Step 4: Simplify right side
    19,231,834,802x = 1,745,093,952,659,604,373,504
  5. Step 5: Solve for x
    x = 1,745,093,952,659,604,373,504/19,231,834,802
  6. Step 6: Final answer
    x = 90,739,857,669.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.