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Finding the Third Proportional to 5,981,909,484 and 13,089,581,601

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Solution

The third proportional to 5,981,909,484 and 13,089,581,601 is: 28,642,550,835.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,981,909,484 : 13,089,581,601 = 13,089,581,601 : x
  2. Step 2: Convert to fraction form
    5,981,909,484/13,089,581,601 = 13,089,581,601/x
  3. Step 3: Cross multiply
    5,981,909,484x = 13,089,581,601 × 13,089,581,601
  4. Step 4: Simplify right side
    5,981,909,484x = 171,337,146,489,237,733,376
  5. Step 5: Solve for x
    x = 171,337,146,489,237,733,376/5,981,909,484
  6. Step 6: Final answer
    x = 28,642,550,835.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.