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Finding the Third Proportional to 1,481,017,634 and 3,084,618,225

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Solution

The third proportional to 1,481,017,634 and 3,084,618,225 is: 6,424,548,483.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,481,017,634 : 3,084,618,225 = 3,084,618,225 : x
  2. Step 2: Convert to fraction form
    1,481,017,634/3,084,618,225 = 3,084,618,225/x
  3. Step 3: Cross multiply
    1,481,017,634x = 3,084,618,225 × 3,084,618,225
  4. Step 4: Simplify right side
    1,481,017,634x = 9,514,869,594,002,151,424
  5. Step 5: Solve for x
    x = 9,514,869,594,002,151,424/1,481,017,634
  6. Step 6: Final answer
    x = 6,424,548,483.13

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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.