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Finding the Third Proportional to 10,933,133,744 and 16,328,184,834

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Solution

The third proportional to 10,933,133,744 and 16,328,184,834 is: 24,385,471,376.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,933,133,744 : 16,328,184,834 = 16,328,184,834 : x
  2. Step 2: Convert to fraction form
    10,933,133,744/16,328,184,834 = 16,328,184,834/x
  3. Step 3: Cross multiply
    10,933,133,744x = 16,328,184,834 × 16,328,184,834
  4. Step 4: Simplify right side
    10,933,133,744x = 266,609,619,973,267,619,840
  5. Step 5: Solve for x
    x = 266,609,619,973,267,619,840/10,933,133,744
  6. Step 6: Final answer
    x = 24,385,471,376.82

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.