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Finding the Third Proportional to 11,184,529,590 and 16,760,433,678

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Solution

The third proportional to 11,184,529,590 and 16,760,433,678 is: 25,116,133,388.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,184,529,590 : 16,760,433,678 = 16,760,433,678 : x
  2. Step 2: Convert to fraction form
    11,184,529,590/16,760,433,678 = 16,760,433,678/x
  3. Step 3: Cross multiply
    11,184,529,590x = 16,760,433,678 × 16,760,433,678
  4. Step 4: Simplify right side
    11,184,529,590x = 280,912,137,074,636,619,776
  5. Step 5: Solve for x
    x = 280,912,137,074,636,619,776/11,184,529,590
  6. Step 6: Final answer
    x = 25,116,133,388.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.