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Finding the Third Proportional to 1,441,890,801 and 2,960,220,519

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Solution

The third proportional to 1,441,890,801 and 2,960,220,519 is: 6,077,371,126.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,441,890,801 : 2,960,220,519 = 2,960,220,519 : x
  2. Step 2: Convert to fraction form
    1,441,890,801/2,960,220,519 = 2,960,220,519/x
  3. Step 3: Cross multiply
    1,441,890,801x = 2,960,220,519 × 2,960,220,519
  4. Step 4: Simplify right side
    1,441,890,801x = 8,762,905,521,108,629,504
  5. Step 5: Solve for x
    x = 8,762,905,521,108,629,504/1,441,890,801
  6. Step 6: Final answer
    x = 6,077,371,126.18

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.