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Finding the Third Proportional to 756,257,728 and 1,641,584,096

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Solution

The third proportional to 756,257,728 and 1,641,584,096 is: 3,563,333,298.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    756,257,728 : 1,641,584,096 = 1,641,584,096 : x
  2. Step 2: Convert to fraction form
    756,257,728/1,641,584,096 = 1,641,584,096/x
  3. Step 3: Cross multiply
    756,257,728x = 1,641,584,096 × 1,641,584,096
  4. Step 4: Simplify right side
    756,257,728x = 2,694,798,344,240,137,216
  5. Step 5: Solve for x
    x = 2,694,798,344,240,137,216/756,257,728
  6. Step 6: Final answer
    x = 3,563,333,298.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.