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Finding the Third Proportional to 534,672,472.50 and 850,769,034.75

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Solution

The third proportional to 534,672,472.50 and 850,769,034.75 is: 1,353,740,818.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,672,472.50 : 850,769,034.75 = 850,769,034.75 : x
  2. Step 2: Convert to fraction form
    534,672,472.50/850,769,034.75 = 850,769,034.75/x
  3. Step 3: Cross multiply
    534,672,472.50x = 850,769,034.75 × 850,769,034.75
  4. Step 4: Simplify right side
    534,672,472.50x = 723,807,950,489,446,656
  5. Step 5: Solve for x
    x = 723,807,950,489,446,656/534,672,472.50
  6. Step 6: Final answer
    x = 1,353,740,818.38

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.