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Finding the Third Proportional to 5,143,049,804 and 11,162,859,160

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Solution

The third proportional to 5,143,049,804 and 11,162,859,160 is: 24,228,702,690.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,143,049,804 : 11,162,859,160 = 11,162,859,160 : x
  2. Step 2: Convert to fraction form
    5,143,049,804/11,162,859,160 = 11,162,859,160/x
  3. Step 3: Cross multiply
    5,143,049,804x = 11,162,859,160 × 11,162,859,160
  4. Step 4: Simplify right side
    5,143,049,804x = 124,609,424,625,995,907,072
  5. Step 5: Solve for x
    x = 124,609,424,625,995,907,072/5,143,049,804
  6. Step 6: Final answer
    x = 24,228,702,690.98

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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.