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Finding the Third Proportional to 458,969,445,814.50 and 982,413,189,636.76

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Solution

The third proportional to 458,969,445,814.50 and 982,413,189,636.76 is: 2,102,832,081,685.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,969,445,814.50 : 982,413,189,636.76 = 982,413,189,636.76 : x
  2. Step 2: Convert to fraction form
    458,969,445,814.50/982,413,189,636.76 = 982,413,189,636.76/x
  3. Step 3: Cross multiply
    458,969,445,814.50x = 982,413,189,636.76 × 982,413,189,636.76
  4. Step 4: Simplify right side
    458,969,445,814.50x = 965,135,675,172,272,644,030,464
  5. Step 5: Solve for x
    x = 965,135,675,172,272,644,030,464/458,969,445,814.50
  6. Step 6: Final answer
    x = 2,102,832,081,685.78

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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.