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Finding the Third Proportional to 301,964,278,616 and 468,857,108,604

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Solution

The third proportional to 301,964,278,616 and 468,857,108,604 is: 727,990,043,378.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,964,278,616 : 468,857,108,604 = 468,857,108,604 : x
  2. Step 2: Convert to fraction form
    301,964,278,616/468,857,108,604 = 468,857,108,604/x
  3. Step 3: Cross multiply
    301,964,278,616x = 468,857,108,604 × 468,857,108,604
  4. Step 4: Simplify right side
    301,964,278,616x = 219,826,988,288,503,059,578,880
  5. Step 5: Solve for x
    x = 219,826,988,288,503,059,578,880/301,964,278,616
  6. Step 6: Final answer
    x = 727,990,043,378.78

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.