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Finding the Third Proportional to 566,306,205.75 and 1,334,941,182

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Solution

The third proportional to 566,306,205.75 and 1,334,941,182 is: 3,146,827,531.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,306,205.75 : 1,334,941,182 = 1,334,941,182 : x
  2. Step 2: Convert to fraction form
    566,306,205.75/1,334,941,182 = 1,334,941,182/x
  3. Step 3: Cross multiply
    566,306,205.75x = 1,334,941,182 × 1,334,941,182
  4. Step 4: Simplify right side
    566,306,205.75x = 1,782,067,959,399,557,120
  5. Step 5: Solve for x
    x = 1,782,067,959,399,557,120/566,306,205.75
  6. Step 6: Final answer
    x = 3,146,827,531.30

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.