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Finding the Third Proportional to 1,481,017,632 and 3,084,618,221

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Solution

The third proportional to 1,481,017,632 and 3,084,618,221 is: 6,424,548,475.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,481,017,632 : 3,084,618,221 = 3,084,618,221 : x
  2. Step 2: Convert to fraction form
    1,481,017,632/3,084,618,221 = 3,084,618,221/x
  3. Step 3: Cross multiply
    1,481,017,632x = 3,084,618,221 × 3,084,618,221
  4. Step 4: Simplify right side
    1,481,017,632x = 9,514,869,569,325,205,504
  5. Step 5: Solve for x
    x = 9,514,869,569,325,205,504/1,481,017,632
  6. Step 6: Final answer
    x = 6,424,548,475.14

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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.