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Finding the Third Proportional to 8,965,577,478 and 19,620,073,224

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Solution

The third proportional to 8,965,577,478 and 19,620,073,224 is: 42,936,138,163.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,965,577,478 : 19,620,073,224 = 19,620,073,224 : x
  2. Step 2: Convert to fraction form
    8,965,577,478/19,620,073,224 = 19,620,073,224/x
  3. Step 3: Cross multiply
    8,965,577,478x = 19,620,073,224 × 19,620,073,224
  4. Step 4: Simplify right side
    8,965,577,478x = 384,947,273,315,121,758,208
  5. Step 5: Solve for x
    x = 384,947,273,315,121,758,208/8,965,577,478
  6. Step 6: Final answer
    x = 42,936,138,163.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.