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Finding the Third Proportional to 10,355,532,960 and 22,821,853,344

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Solution

The third proportional to 10,355,532,960 and 22,821,853,344 is: 50,295,527,238.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,355,532,960 : 22,821,853,344 = 22,821,853,344 : x
  2. Step 2: Convert to fraction form
    10,355,532,960/22,821,853,344 = 22,821,853,344/x
  3. Step 3: Cross multiply
    10,355,532,960x = 22,821,853,344 × 22,821,853,344
  4. Step 4: Simplify right side
    10,355,532,960x = 520,836,990,055,043,956,736
  5. Step 5: Solve for x
    x = 520,836,990,055,043,956,736/10,355,532,960
  6. Step 6: Final answer
    x = 50,295,527,238.13

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.