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Finding the Third Proportional to 512,207,710 and 1,102,101,138

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Solution

The third proportional to 512,207,710 and 1,102,101,138 is: 2,371,356,179.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,207,710 : 1,102,101,138 = 1,102,101,138 : x
  2. Step 2: Convert to fraction form
    512,207,710/1,102,101,138 = 1,102,101,138/x
  3. Step 3: Cross multiply
    512,207,710x = 1,102,101,138 × 1,102,101,138
  4. Step 4: Simplify right side
    512,207,710x = 1,214,626,918,380,894,976
  5. Step 5: Solve for x
    x = 1,214,626,918,380,894,976/512,207,710
  6. Step 6: Final answer
    x = 2,371,356,179.67

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