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Finding the Third Proportional to 5,143,049,806 and 11,162,859,164

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Solution

The third proportional to 5,143,049,806 and 11,162,859,164 is: 24,228,702,698.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,143,049,806 : 11,162,859,164 = 11,162,859,164 : x
  2. Step 2: Convert to fraction form
    5,143,049,806/11,162,859,164 = 11,162,859,164/x
  3. Step 3: Cross multiply
    5,143,049,806x = 11,162,859,164 × 11,162,859,164
  4. Step 4: Simplify right side
    5,143,049,806x = 124,609,424,715,298,783,232
  5. Step 5: Solve for x
    x = 124,609,424,715,298,783,232/5,143,049,806
  6. Step 6: Final answer
    x = 24,228,702,698.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.