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Finding the Third Proportional to 269,218,958 and 585,607,863

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Solution

The third proportional to 269,218,958 and 585,607,863 is: 1,273,820,282.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,218,958 : 585,607,863 = 585,607,863 : x
  2. Step 2: Convert to fraction form
    269,218,958/585,607,863 = 585,607,863/x
  3. Step 3: Cross multiply
    269,218,958x = 585,607,863 × 585,607,863
  4. Step 4: Simplify right side
    269,218,958x = 342,936,569,207,426,752
  5. Step 5: Solve for x
    x = 342,936,569,207,426,752/269,218,958
  6. Step 6: Final answer
    x = 1,273,820,282.77

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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.