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Finding the Third Proportional to 876,814,032 and 1,927,188,384

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Solution

The third proportional to 876,814,032 and 1,927,188,384 is: 4,235,852,680.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    876,814,032 : 1,927,188,384 = 1,927,188,384 : x
  2. Step 2: Convert to fraction form
    876,814,032/1,927,188,384 = 1,927,188,384/x
  3. Step 3: Cross multiply
    876,814,032x = 1,927,188,384 × 1,927,188,384
  4. Step 4: Simplify right side
    876,814,032x = 3,714,055,067,424,531,456
  5. Step 5: Solve for x
    x = 3,714,055,067,424,531,456/876,814,032
  6. Step 6: Final answer
    x = 4,235,852,680.13

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.