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Finding the Third Proportional to 1,280,479,032 and 2,964,124,404

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Solution

The third proportional to 1,280,479,032 and 2,964,124,404 is: 6,861,520,776.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280,479,032 : 2,964,124,404 = 2,964,124,404 : x
  2. Step 2: Convert to fraction form
    1,280,479,032/2,964,124,404 = 2,964,124,404/x
  3. Step 3: Cross multiply
    1,280,479,032x = 2,964,124,404 × 2,964,124,404
  4. Step 4: Simplify right side
    1,280,479,032x = 8,786,033,482,388,355,072
  5. Step 5: Solve for x
    x = 8,786,033,482,388,355,072/1,280,479,032
  6. Step 6: Final answer
    x = 6,861,520,776.85

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.