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Finding the Third Proportional to 223,699,612 and 486,120,736

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Solution

The third proportional to 223,699,612 and 486,120,736 is: 1,056,387,035.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,699,612 : 486,120,736 = 486,120,736 : x
  2. Step 2: Convert to fraction form
    223,699,612/486,120,736 = 486,120,736/x
  3. Step 3: Cross multiply
    223,699,612x = 486,120,736 × 486,120,736
  4. Step 4: Simplify right side
    223,699,612x = 236,313,369,969,181,696
  5. Step 5: Solve for x
    x = 236,313,369,969,181,696/223,699,612
  6. Step 6: Final answer
    x = 1,056,387,035.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.