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Finding the Third Proportional to 1,481,017,844 and 3,084,618,658

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Solution

The third proportional to 1,481,017,844 and 3,084,618,658 is: 6,424,549,375.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,481,017,844 : 3,084,618,658 = 3,084,618,658 : x
  2. Step 2: Convert to fraction form
    1,481,017,844/3,084,618,658 = 3,084,618,658/x
  3. Step 3: Cross multiply
    1,481,017,844x = 3,084,618,658 × 3,084,618,658
  4. Step 4: Simplify right side
    1,481,017,844x = 9,514,872,265,281,720,320
  5. Step 5: Solve for x
    x = 9,514,872,265,281,720,320/1,481,017,844
  6. Step 6: Final answer
    x = 6,424,549,375.84

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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.