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Finding the Third Proportional to 331,253,436 and 696,774,974

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Solution

The third proportional to 331,253,436 and 696,774,974 is: 1,465,631,180.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,253,436 : 696,774,974 = 696,774,974 : x
  2. Step 2: Convert to fraction form
    331,253,436/696,774,974 = 696,774,974/x
  3. Step 3: Cross multiply
    331,253,436x = 696,774,974 × 696,774,974
  4. Step 4: Simplify right side
    331,253,436x = 485,495,364,392,700,672
  5. Step 5: Solve for x
    x = 485,495,364,392,700,672/331,253,436
  6. Step 6: Final answer
    x = 1,465,631,180.33

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.