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Finding the Third Proportional to 274,277,472 and 585,752,544

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Solution

The third proportional to 274,277,472 and 585,752,544 is: 1,250,945,038.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,277,472 : 585,752,544 = 585,752,544 : x
  2. Step 2: Convert to fraction form
    274,277,472/585,752,544 = 585,752,544/x
  3. Step 3: Cross multiply
    274,277,472x = 585,752,544 × 585,752,544
  4. Step 4: Simplify right side
    274,277,472x = 343,106,042,802,471,936
  5. Step 5: Solve for x
    x = 343,106,042,802,471,936/274,277,472
  6. Step 6: Final answer
    x = 1,250,945,038.62

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.