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Finding the Third Proportional to 283,922,328,784 and 441,035,914,940

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Solution

The third proportional to 283,922,328,784 and 441,035,914,940 is: 685,091,162,431.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,922,328,784 : 441,035,914,940 = 441,035,914,940 : x
  2. Step 2: Convert to fraction form
    283,922,328,784/441,035,914,940 = 441,035,914,940/x
  3. Step 3: Cross multiply
    283,922,328,784x = 441,035,914,940 × 441,035,914,940
  4. Step 4: Simplify right side
    283,922,328,784x = 194,512,678,266,962,903,564,288
  5. Step 5: Solve for x
    x = 194,512,678,266,962,903,564,288/283,922,328,784
  6. Step 6: Final answer
    x = 685,091,162,431.76

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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.