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Finding the Third Proportional to 637,104,233,243 and 1,365,082,685,086

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Solution

The third proportional to 637,104,233,243 and 1,365,082,685,086 is: 2,924,875,773,680.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    637,104,233,243 : 1,365,082,685,086 = 1,365,082,685,086 : x
  2. Step 2: Convert to fraction form
    637,104,233,243/1,365,082,685,086 = 1,365,082,685,086/x
  3. Step 3: Cross multiply
    637,104,233,243x = 1,365,082,685,086 × 1,365,082,685,086
  4. Step 4: Simplify right side
    637,104,233,243x = 1,863,450,737,121,603,482,550,272
  5. Step 5: Solve for x
    x = 1,863,450,737,121,603,482,550,272/637,104,233,243
  6. Step 6: Final answer
    x = 2,924,875,773,680.28

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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.