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Finding the Third Proportional to 637,104,233,256 and 1,365,082,685,112

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Solution

The third proportional to 637,104,233,256 and 1,365,082,685,112 is: 2,924,875,773,732.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    637,104,233,256 : 1,365,082,685,112 = 1,365,082,685,112 : x
  2. Step 2: Convert to fraction form
    637,104,233,256/1,365,082,685,112 = 1,365,082,685,112/x
  3. Step 3: Cross multiply
    637,104,233,256x = 1,365,082,685,112 × 1,365,082,685,112
  4. Step 4: Simplify right side
    637,104,233,256x = 1,863,450,737,192,587,749,228,544
  5. Step 5: Solve for x
    x = 1,863,450,737,192,587,749,228,544/637,104,233,256
  6. Step 6: Final answer
    x = 2,924,875,773,732.02

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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.