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Finding the Third Proportional to 1,882,236,366 and 2,847,562,623

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Solution

The third proportional to 1,882,236,366 and 2,847,562,623 is: 4,307,967,393.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,882,236,366 : 2,847,562,623 = 2,847,562,623 : x
  2. Step 2: Convert to fraction form
    1,882,236,366/2,847,562,623 = 2,847,562,623/x
  3. Step 3: Cross multiply
    1,882,236,366x = 2,847,562,623 × 2,847,562,623
  4. Step 4: Simplify right side
    1,882,236,366x = 8,108,612,891,906,639,872
  5. Step 5: Solve for x
    x = 8,108,612,891,906,639,872/1,882,236,366
  6. Step 6: Final answer
    x = 4,307,967,393.67

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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.