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Finding the Third Proportional to 9,233,690,201 and 18,724,318,624

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Solution

The third proportional to 9,233,690,201 and 18,724,318,624 is: 37,969,663,298.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,233,690,201 : 18,724,318,624 = 18,724,318,624 : x
  2. Step 2: Convert to fraction form
    9,233,690,201/18,724,318,624 = 18,724,318,624/x
  3. Step 3: Cross multiply
    9,233,690,201x = 18,724,318,624 × 18,724,318,624
  4. Step 4: Simplify right side
    9,233,690,201x = 350,600,107,933,073,276,928
  5. Step 5: Solve for x
    x = 350,600,107,933,073,276,928/9,233,690,201
  6. Step 6: Final answer
    x = 37,969,663,298.33

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.