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Finding the Third Proportional to 193,079,147,916 and 415,666,800,024

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Solution

The third proportional to 193,079,147,916 and 415,666,800,024 is: 894,860,426,447.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,079,147,916 : 415,666,800,024 = 415,666,800,024 : x
  2. Step 2: Convert to fraction form
    193,079,147,916/415,666,800,024 = 415,666,800,024/x
  3. Step 3: Cross multiply
    193,079,147,916x = 415,666,800,024 × 415,666,800,024
  4. Step 4: Simplify right side
    193,079,147,916x = 172,778,888,642,192,000,155,648
  5. Step 5: Solve for x
    x = 172,778,888,642,192,000,155,648/193,079,147,916
  6. Step 6: Final answer
    x = 894,860,426,447.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.