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Finding the Third Proportional to 223,699,606 and 486,120,724

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Solution

The third proportional to 223,699,606 and 486,120,724 is: 1,056,387,011.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,699,606 : 486,120,724 = 486,120,724 : x
  2. Step 2: Convert to fraction form
    223,699,606/486,120,724 = 486,120,724/x
  3. Step 3: Cross multiply
    223,699,606x = 486,120,724 × 486,120,724
  4. Step 4: Simplify right side
    223,699,606x = 236,313,358,302,284,160
  5. Step 5: Solve for x
    x = 236,313,358,302,284,160/223,699,606
  6. Step 6: Final answer
    x = 1,056,387,011.71

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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.