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Finding the Third Proportional to 16,649,072,448 and 23,930,560,800

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Solution

The third proportional to 16,649,072,448 and 23,930,560,800 is: 34,396,615,306.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,649,072,448 : 23,930,560,800 = 23,930,560,800 : x
  2. Step 2: Convert to fraction form
    16,649,072,448/23,930,560,800 = 23,930,560,800/x
  3. Step 3: Cross multiply
    16,649,072,448x = 23,930,560,800 × 23,930,560,800
  4. Step 4: Simplify right side
    16,649,072,448x = 572,671,740,202,496,622,592
  5. Step 5: Solve for x
    x = 572,671,740,202,496,622,592/16,649,072,448
  6. Step 6: Final answer
    x = 34,396,615,306.42

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.