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Finding the Third Proportional to 301,964,278,612 and 468,857,108,598

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Solution

The third proportional to 301,964,278,612 and 468,857,108,598 is: 727,990,043,369.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,964,278,612 : 468,857,108,598 = 468,857,108,598 : x
  2. Step 2: Convert to fraction form
    301,964,278,612/468,857,108,598 = 468,857,108,598/x
  3. Step 3: Cross multiply
    301,964,278,612x = 468,857,108,598 × 468,857,108,598
  4. Step 4: Simplify right side
    301,964,278,612x = 219,826,988,282,876,753,084,416
  5. Step 5: Solve for x
    x = 219,826,988,282,876,753,084,416/301,964,278,612
  6. Step 6: Final answer
    x = 727,990,043,369.79

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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.