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Finding the Third Proportional to 269,218,951 and 585,607,848

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Solution

The third proportional to 269,218,951 and 585,607,848 is: 1,273,820,250.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,218,951 : 585,607,848 = 585,607,848 : x
  2. Step 2: Convert to fraction form
    269,218,951/585,607,848 = 585,607,848/x
  3. Step 3: Cross multiply
    269,218,951x = 585,607,848 × 585,607,848
  4. Step 4: Simplify right side
    269,218,951x = 342,936,551,639,191,104
  5. Step 5: Solve for x
    x = 342,936,551,639,191,104/269,218,951
  6. Step 6: Final answer
    x = 1,273,820,250.64

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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.