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Finding the Third Proportional to 79,353,927,876 and 171,331,341,144

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Solution

The third proportional to 79,353,927,876 and 171,331,341,144 is: 369,917,775,262.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,353,927,876 : 171,331,341,144 = 171,331,341,144 : x
  2. Step 2: Convert to fraction form
    79,353,927,876/171,331,341,144 = 171,331,341,144/x
  3. Step 3: Cross multiply
    79,353,927,876x = 171,331,341,144 × 171,331,341,144
  4. Step 4: Simplify right side
    79,353,927,876x = 29,354,428,458,201,706,921,984
  5. Step 5: Solve for x
    x = 29,354,428,458,201,706,921,984/79,353,927,876
  6. Step 6: Final answer
    x = 369,917,775,262.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.