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Finding the Third Proportional to 231,263,442 and 500,632,636

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Solution

The third proportional to 231,263,442 and 500,632,636 is: 1,083,755,538.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,263,442 : 500,632,636 = 500,632,636 : x
  2. Step 2: Convert to fraction form
    231,263,442/500,632,636 = 500,632,636/x
  3. Step 3: Cross multiply
    231,263,442x = 500,632,636 × 500,632,636
  4. Step 4: Simplify right side
    231,263,442x = 250,633,036,228,308,480
  5. Step 5: Solve for x
    x = 250,633,036,228,308,480/231,263,442
  6. Step 6: Final answer
    x = 1,083,755,538.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.