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Finding the Third Proportional to 269,218,434.38 and 585,606,408.75

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Solution

The third proportional to 269,218,434.38 and 585,606,408.75 is: 1,273,816,433.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,218,434.38 : 585,606,408.75 = 585,606,408.75 : x
  2. Step 2: Convert to fraction form
    269,218,434.38/585,606,408.75 = 585,606,408.75/x
  3. Step 3: Cross multiply
    269,218,434.38x = 585,606,408.75 × 585,606,408.75
  4. Step 4: Simplify right side
    269,218,434.38x = 342,934,865,969,072,064
  5. Step 5: Solve for x
    x = 342,934,865,969,072,064/269,218,434.38
  6. Step 6: Final answer
    x = 1,273,816,433.73

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