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Finding the Third Proportional to 1,887,729,636 and 2,857,824,848

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Solution

The third proportional to 1,887,729,636 and 2,857,824,848 is: 4,326,447,339.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,887,729,636 : 2,857,824,848 = 2,857,824,848 : x
  2. Step 2: Convert to fraction form
    1,887,729,636/2,857,824,848 = 2,857,824,848/x
  3. Step 3: Cross multiply
    1,887,729,636x = 2,857,824,848 × 2,857,824,848
  4. Step 4: Simplify right side
    1,887,729,636x = 8,167,162,861,846,222,848
  5. Step 5: Solve for x
    x = 8,167,162,861,846,222,848/1,887,729,636
  6. Step 6: Final answer
    x = 4,326,447,339.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.