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Finding the Third Proportional to 2,382,801,864 and 5,194,642,123.50

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Solution

The third proportional to 2,382,801,864 and 5,194,642,123.50 is: 11,324,612,087.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,382,801,864 : 5,194,642,123.50 = 5,194,642,123.50 : x
  2. Step 2: Convert to fraction form
    2,382,801,864/5,194,642,123.50 = 5,194,642,123.50/x
  3. Step 3: Cross multiply
    2,382,801,864x = 5,194,642,123.50 × 5,194,642,123.50
  4. Step 4: Simplify right side
    2,382,801,864x = 26,984,306,791,240,589,312
  5. Step 5: Solve for x
    x = 26,984,306,791,240,589,312/2,382,801,864
  6. Step 6: Final answer
    x = 11,324,612,087.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.