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Finding the Third Proportional to 11,018,051,100 and 23,607,971,880

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Solution

The third proportional to 11,018,051,100 and 23,607,971,880 is: 50,583,930,971.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,018,051,100 : 23,607,971,880 = 23,607,971,880 : x
  2. Step 2: Convert to fraction form
    11,018,051,100/23,607,971,880 = 23,607,971,880/x
  3. Step 3: Cross multiply
    11,018,051,100x = 23,607,971,880 × 23,607,971,880
  4. Step 4: Simplify right side
    11,018,051,100x = 557,336,336,286,870,732,800
  5. Step 5: Solve for x
    x = 557,336,336,286,870,732,800/11,018,051,100
  6. Step 6: Final answer
    x = 50,583,930,971.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.