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Finding the Third Proportional to 269,193,735 and 585,626,670

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Solution

The third proportional to 269,193,735 and 585,626,670 is: 1,274,021,464.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,193,735 : 585,626,670 = 585,626,670 : x
  2. Step 2: Convert to fraction form
    269,193,735/585,626,670 = 585,626,670/x
  3. Step 3: Cross multiply
    269,193,735x = 585,626,670 × 585,626,670
  4. Step 4: Simplify right side
    269,193,735x = 342,958,596,615,288,896
  5. Step 5: Solve for x
    x = 342,958,596,615,288,896/269,193,735
  6. Step 6: Final answer
    x = 1,274,021,464.93

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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.