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Finding the Third Proportional to 277,284,444.75 and 585,508,105.13

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Solution

The third proportional to 277,284,444.75 and 585,508,105.13 is: 1,236,346,818.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,284,444.75 : 585,508,105.13 = 585,508,105.13 : x
  2. Step 2: Convert to fraction form
    277,284,444.75/585,508,105.13 = 585,508,105.13/x
  3. Step 3: Cross multiply
    277,284,444.75x = 585,508,105.13 × 585,508,105.13
  4. Step 4: Simplify right side
    277,284,444.75x = 342,819,741,167,068,032
  5. Step 5: Solve for x
    x = 342,819,741,167,068,032/277,284,444.75
  6. Step 6: Final answer
    x = 1,236,346,818.79

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.