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Finding the Third Proportional to 1,827,687,212 and 2,784,384,360

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Solution

The third proportional to 1,827,687,212 and 2,784,384,360 is: 4,241,861,634.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,827,687,212 : 2,784,384,360 = 2,784,384,360 : x
  2. Step 2: Convert to fraction form
    1,827,687,212/2,784,384,360 = 2,784,384,360/x
  3. Step 3: Cross multiply
    1,827,687,212x = 2,784,384,360 × 2,784,384,360
  4. Step 4: Simplify right side
    1,827,687,212x = 7,752,796,264,212,610,048
  5. Step 5: Solve for x
    x = 7,752,796,264,212,610,048/1,827,687,212
  6. Step 6: Final answer
    x = 4,241,861,634.37

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.