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Finding the Third Proportional to 2,078,837,195 and 2,824,187,398

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Solution

The third proportional to 2,078,837,195 and 2,824,187,398 is: 3,836,776,866.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078,837,195 : 2,824,187,398 = 2,824,187,398 : x
  2. Step 2: Convert to fraction form
    2,078,837,195/2,824,187,398 = 2,824,187,398/x
  3. Step 3: Cross multiply
    2,078,837,195x = 2,824,187,398 × 2,824,187,398
  4. Step 4: Simplify right side
    2,078,837,195x = 7,976,034,459,022,010,368
  5. Step 5: Solve for x
    x = 7,976,034,459,022,010,368/2,078,837,195
  6. Step 6: Final answer
    x = 3,836,776,866.51

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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.