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Finding the Third Proportional to 873,127,171,932.75 and 1,900,001,222,255.20

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Solution

The third proportional to 873,127,171,932.75 and 1,900,001,222,255.20 is: 4,134,569,121,907.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    873,127,171,932.75 : 1,900,001,222,255.20 = 1,900,001,222,255.20 : x
  2. Step 2: Convert to fraction form
    873,127,171,932.75/1,900,001,222,255.20 = 1,900,001,222,255.20/x
  3. Step 3: Cross multiply
    873,127,171,932.75x = 1,900,001,222,255.20 × 1,900,001,222,255.20
  4. Step 4: Simplify right side
    873,127,171,932.75x = 3,610,004,644,571,253,783,396,352
  5. Step 5: Solve for x
    x = 3,610,004,644,571,253,783,396,352/873,127,171,932.75
  6. Step 6: Final answer
    x = 4,134,569,121,907.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.