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Finding the Third Proportional to 819,817,719.75 and 1,770,267,861

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Solution

The third proportional to 819,817,719.75 and 1,770,267,861 is: 3,822,615,959.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,817,719.75 : 1,770,267,861 = 1,770,267,861 : x
  2. Step 2: Convert to fraction form
    819,817,719.75/1,770,267,861 = 1,770,267,861/x
  3. Step 3: Cross multiply
    819,817,719.75x = 1,770,267,861 × 1,770,267,861
  4. Step 4: Simplify right side
    819,817,719.75x = 3,133,848,299,689,515,520
  5. Step 5: Solve for x
    x = 3,133,848,299,689,515,520/819,817,719.75
  6. Step 6: Final answer
    x = 3,822,615,959.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.