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Finding the Third Proportional to 1,659,125,655 and 3,554,902,917

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Solution

The third proportional to 1,659,125,655 and 3,554,902,917 is: 7,616,864,166.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,659,125,655 : 3,554,902,917 = 3,554,902,917 : x
  2. Step 2: Convert to fraction form
    1,659,125,655/3,554,902,917 = 3,554,902,917/x
  3. Step 3: Cross multiply
    1,659,125,655x = 3,554,902,917 × 3,554,902,917
  4. Step 4: Simplify right side
    1,659,125,655x = 12,637,334,749,295,108,096
  5. Step 5: Solve for x
    x = 12,637,334,749,295,108,096/1,659,125,655
  6. Step 6: Final answer
    x = 7,616,864,166.50

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.