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Finding the Third Proportional to 9,325,081,314 and 19,024,750,500

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Solution

The third proportional to 9,325,081,314 and 19,024,750,500 is: 38,813,723,912.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,325,081,314 : 19,024,750,500 = 19,024,750,500 : x
  2. Step 2: Convert to fraction form
    9,325,081,314/19,024,750,500 = 19,024,750,500/x
  3. Step 3: Cross multiply
    9,325,081,314x = 19,024,750,500 × 19,024,750,500
  4. Step 4: Simplify right side
    9,325,081,314x = 361,941,131,587,250,225,152
  5. Step 5: Solve for x
    x = 361,941,131,587,250,225,152/9,325,081,314
  6. Step 6: Final answer
    x = 38,813,723,912.93

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.