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Finding the Third Proportional to 637,104,233,241 and 1,365,082,685,082

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Solution

The third proportional to 637,104,233,241 and 1,365,082,685,082 is: 2,924,875,773,672.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    637,104,233,241 : 1,365,082,685,082 = 1,365,082,685,082 : x
  2. Step 2: Convert to fraction form
    637,104,233,241/1,365,082,685,082 = 1,365,082,685,082/x
  3. Step 3: Cross multiply
    637,104,233,241x = 1,365,082,685,082 × 1,365,082,685,082
  4. Step 4: Simplify right side
    637,104,233,241x = 1,863,450,737,110,682,722,893,824
  5. Step 5: Solve for x
    x = 1,863,450,737,110,682,722,893,824/637,104,233,241
  6. Step 6: Final answer
    x = 2,924,875,773,672.32

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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.