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Finding the Third Proportional to 3,353,296,744,352 and 7,294,125,751,024

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Solution

The third proportional to 3,353,296,744,352 and 7,294,125,751,024 is: 15,866,257,754,063.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,353,296,744,352 : 7,294,125,751,024 = 7,294,125,751,024 : x
  2. Step 2: Convert to fraction form
    3,353,296,744,352/7,294,125,751,024 = 7,294,125,751,024/x
  3. Step 3: Cross multiply
    3,353,296,744,352x = 7,294,125,751,024 × 7,294,125,751,024
  4. Step 4: Simplify right side
    3,353,296,744,352x = 53,204,270,471,751,432,694,398,976
  5. Step 5: Solve for x
    x = 53,204,270,471,751,432,694,398,976/3,353,296,744,352
  6. Step 6: Final answer
    x = 15,866,257,754,063.69

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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.