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Finding the Third Proportional to 1,959,084,013 and 4,262,527,754

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Solution

The third proportional to 1,959,084,013 and 4,262,527,754 is: 9,274,305,100.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,959,084,013 : 4,262,527,754 = 4,262,527,754 : x
  2. Step 2: Convert to fraction form
    1,959,084,013/4,262,527,754 = 4,262,527,754/x
  3. Step 3: Cross multiply
    1,959,084,013x = 4,262,527,754 × 4,262,527,754
  4. Step 4: Simplify right side
    1,959,084,013x = 18,169,142,853,620,285,440
  5. Step 5: Solve for x
    x = 18,169,142,853,620,285,440/1,959,084,013
  6. Step 6: Final answer
    x = 9,274,305,100.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.