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Finding the Third Proportional to 466,487,071,110 and 696,673,757,911.50

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Solution

The third proportional to 466,487,071,110 and 696,673,757,911.50 is: 1,040,445,394,998.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,487,071,110 : 696,673,757,911.50 = 696,673,757,911.50 : x
  2. Step 2: Convert to fraction form
    466,487,071,110/696,673,757,911.50 = 696,673,757,911.50/x
  3. Step 3: Cross multiply
    466,487,071,110x = 696,673,757,911.50 × 696,673,757,911.50
  4. Step 4: Simplify right side
    466,487,071,110x = 485,354,324,962,531,285,663,744
  5. Step 5: Solve for x
    x = 485,354,324,962,531,285,663,744/466,487,071,110
  6. Step 6: Final answer
    x = 1,040,445,394,998.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.