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Finding the Third Proportional to 534,916,224.75 and 1,164,795,861.75

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Solution

The third proportional to 534,916,224.75 and 1,164,795,861.75 is: 2,536,377,355.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,916,224.75 : 1,164,795,861.75 = 1,164,795,861.75 : x
  2. Step 2: Convert to fraction form
    534,916,224.75/1,164,795,861.75 = 1,164,795,861.75/x
  3. Step 3: Cross multiply
    534,916,224.75x = 1,164,795,861.75 × 1,164,795,861.75
  4. Step 4: Simplify right side
    534,916,224.75x = 1,356,749,399,549,925,120
  5. Step 5: Solve for x
    x = 1,356,749,399,549,925,120/534,916,224.75
  6. Step 6: Final answer
    x = 2,536,377,355.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.