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Finding the Third Proportional to 13,431,204,500 and 28,749,174,019

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Solution

The third proportional to 13,431,204,500 and 28,749,174,019 is: 61,536,923,719.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,431,204,500 : 28,749,174,019 = 28,749,174,019 : x
  2. Step 2: Convert to fraction form
    13,431,204,500/28,749,174,019 = 28,749,174,019/x
  3. Step 3: Cross multiply
    13,431,204,500x = 28,749,174,019 × 28,749,174,019
  4. Step 4: Simplify right side
    13,431,204,500x = 826,515,006,774,744,580,096
  5. Step 5: Solve for x
    x = 826,515,006,774,744,580,096/13,431,204,500
  6. Step 6: Final answer
    x = 61,536,923,719.29

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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.