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Finding the Third Proportional to 311,433,865 and 735,168,998.75

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Solution

The third proportional to 311,433,865 and 735,168,998.75 is: 1,735,435,729.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,433,865 : 735,168,998.75 = 735,168,998.75 : x
  2. Step 2: Convert to fraction form
    311,433,865/735,168,998.75 = 735,168,998.75/x
  3. Step 3: Cross multiply
    311,433,865x = 735,168,998.75 × 735,168,998.75
  4. Step 4: Simplify right side
    311,433,865x = 540,473,456,723,077,504
  5. Step 5: Solve for x
    x = 540,473,456,723,077,504/311,433,865
  6. Step 6: Final answer
    x = 1,735,435,729.58

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.