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Finding the Third Proportional to 1,508,430,780 and 3,247,396,753

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Solution

The third proportional to 1,508,430,780 and 3,247,396,753 is: 6,991,096,847.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,508,430,780 : 3,247,396,753 = 3,247,396,753 : x
  2. Step 2: Convert to fraction form
    1,508,430,780/3,247,396,753 = 3,247,396,753/x
  3. Step 3: Cross multiply
    1,508,430,780x = 3,247,396,753 × 3,247,396,753
  4. Step 4: Simplify right side
    1,508,430,780x = 10,545,585,671,394,942,976
  5. Step 5: Solve for x
    x = 10,545,585,671,394,942,976/1,508,430,780
  6. Step 6: Final answer
    x = 6,991,096,847.94

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.