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Finding the Third Proportional to 277,691,010 and 578,366,308

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Solution

The third proportional to 277,691,010 and 578,366,308 is: 1,204,603,585.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,691,010 : 578,366,308 = 578,366,308 : x
  2. Step 2: Convert to fraction form
    277,691,010/578,366,308 = 578,366,308/x
  3. Step 3: Cross multiply
    277,691,010x = 578,366,308 × 578,366,308
  4. Step 4: Simplify right side
    277,691,010x = 334,507,586,229,550,848
  5. Step 5: Solve for x
    x = 334,507,586,229,550,848/277,691,010
  6. Step 6: Final answer
    x = 1,204,603,585.22

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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.