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Finding the Third Proportional to 827,789,108 and 1,802,544,612

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Solution

The third proportional to 827,789,108 and 1,802,544,612 is: 3,925,114,557.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,789,108 : 1,802,544,612 = 1,802,544,612 : x
  2. Step 2: Convert to fraction form
    827,789,108/1,802,544,612 = 1,802,544,612/x
  3. Step 3: Cross multiply
    827,789,108x = 1,802,544,612 × 1,802,544,612
  4. Step 4: Simplify right side
    827,789,108x = 3,249,167,078,250,230,784
  5. Step 5: Solve for x
    x = 3,249,167,078,250,230,784/827,789,108
  6. Step 6: Final answer
    x = 3,925,114,557.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.