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Finding the Third Proportional to 277,691,012 and 578,366,312

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Solution

The third proportional to 277,691,012 and 578,366,312 is: 1,204,603,593.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,691,012 : 578,366,312 = 578,366,312 : x
  2. Step 2: Convert to fraction form
    277,691,012/578,366,312 = 578,366,312/x
  3. Step 3: Cross multiply
    277,691,012x = 578,366,312 × 578,366,312
  4. Step 4: Simplify right side
    277,691,012x = 334,507,590,856,481,344
  5. Step 5: Solve for x
    x = 334,507,590,856,481,344/277,691,012
  6. Step 6: Final answer
    x = 1,204,603,593.21

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.