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Finding the Third Proportional to 304,225,814 and 664,200,364

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Solution

The third proportional to 304,225,814 and 664,200,364 is: 1,450,114,037.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,225,814 : 664,200,364 = 664,200,364 : x
  2. Step 2: Convert to fraction form
    304,225,814/664,200,364 = 664,200,364/x
  3. Step 3: Cross multiply
    304,225,814x = 664,200,364 × 664,200,364
  4. Step 4: Simplify right side
    304,225,814x = 441,162,123,537,732,480
  5. Step 5: Solve for x
    x = 441,162,123,537,732,480/304,225,814
  6. Step 6: Final answer
    x = 1,450,114,037.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.