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Finding the Third Proportional to 1,481,017,612 and 3,084,618,180

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Solution

The third proportional to 1,481,017,612 and 3,084,618,180 is: 6,424,548,391.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,481,017,612 : 3,084,618,180 = 3,084,618,180 : x
  2. Step 2: Convert to fraction form
    1,481,017,612/3,084,618,180 = 3,084,618,180/x
  3. Step 3: Cross multiply
    1,481,017,612x = 3,084,618,180 × 3,084,618,180
  4. Step 4: Simplify right side
    1,481,017,612x = 9,514,869,316,386,512,896
  5. Step 5: Solve for x
    x = 9,514,869,316,386,512,896/1,481,017,612
  6. Step 6: Final answer
    x = 6,424,548,391.11

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.