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Finding the Third Proportional to 39,318,664,241 and 86,651,724,482

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Solution

The third proportional to 39,318,664,241 and 86,651,724,482 is: 190,965,830,112.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,318,664,241 : 86,651,724,482 = 86,651,724,482 : x
  2. Step 2: Convert to fraction form
    39,318,664,241/86,651,724,482 = 86,651,724,482/x
  3. Step 3: Cross multiply
    39,318,664,241x = 86,651,724,482 × 86,651,724,482
  4. Step 4: Simplify right side
    39,318,664,241x = 7,508,521,355,704,438,620,160
  5. Step 5: Solve for x
    x = 7,508,521,355,704,438,620,160/39,318,664,241
  6. Step 6: Final answer
    x = 190,965,830,112.68

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.