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Finding the Third Proportional to 76,592,648,211 and 167,613,672,405

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Solution

The third proportional to 76,592,648,211 and 167,613,672,405 is: 366,802,086,535.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,592,648,211 : 167,613,672,405 = 167,613,672,405 : x
  2. Step 2: Convert to fraction form
    76,592,648,211/167,613,672,405 = 167,613,672,405/x
  3. Step 3: Cross multiply
    76,592,648,211x = 167,613,672,405 × 167,613,672,405
  4. Step 4: Simplify right side
    76,592,648,211x = 28,094,343,177,090,658,992,128
  5. Step 5: Solve for x
    x = 28,094,343,177,090,658,992,128/76,592,648,211
  6. Step 6: Final answer
    x = 366,802,086,535.71

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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.