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Finding the Third Proportional to 2,078,837,193 and 2,824,187,395.50

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Solution

The third proportional to 2,078,837,193 and 2,824,187,395.50 is: 3,836,776,863.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078,837,193 : 2,824,187,395.50 = 2,824,187,395.50 : x
  2. Step 2: Convert to fraction form
    2,078,837,193/2,824,187,395.50 = 2,824,187,395.50/x
  3. Step 3: Cross multiply
    2,078,837,193x = 2,824,187,395.50 × 2,824,187,395.50
  4. Step 4: Simplify right side
    2,078,837,193x = 7,976,034,444,901,073,920
  5. Step 5: Solve for x
    x = 7,976,034,444,901,073,920/2,078,837,193
  6. Step 6: Final answer
    x = 3,836,776,863.41

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.