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Finding the Third Proportional to 1,481,641,569 and 2,178,127,441

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Solution

The third proportional to 1,481,641,569 and 2,178,127,441 is: 3,202,015,418.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,481,641,569 : 2,178,127,441 = 2,178,127,441 : x
  2. Step 2: Convert to fraction form
    1,481,641,569/2,178,127,441 = 2,178,127,441/x
  3. Step 3: Cross multiply
    1,481,641,569x = 2,178,127,441 × 2,178,127,441
  4. Step 4: Simplify right side
    1,481,641,569x = 4,744,239,149,237,208,064
  5. Step 5: Solve for x
    x = 4,744,239,149,237,208,064/1,481,641,569
  6. Step 6: Final answer
    x = 3,202,015,418.91

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.