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Finding the Third Proportional to 512,207,715 and 1,102,101,147

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Solution

The third proportional to 512,207,715 and 1,102,101,147 is: 2,371,356,195.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,207,715 : 1,102,101,147 = 1,102,101,147 : x
  2. Step 2: Convert to fraction form
    512,207,715/1,102,101,147 = 1,102,101,147/x
  3. Step 3: Cross multiply
    512,207,715x = 1,102,101,147 × 1,102,101,147
  4. Step 4: Simplify right side
    512,207,715x = 1,214,626,938,218,715,648
  5. Step 5: Solve for x
    x = 1,214,626,938,218,715,648/512,207,715
  6. Step 6: Final answer
    x = 2,371,356,195.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.