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Finding the Third Proportional to 11,904,439,202 and 19,601,904,243

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Solution

The third proportional to 11,904,439,202 and 19,601,904,243 is: 32,276,585,518.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,904,439,202 : 19,601,904,243 = 19,601,904,243 : x
  2. Step 2: Convert to fraction form
    11,904,439,202/19,601,904,243 = 19,601,904,243/x
  3. Step 3: Cross multiply
    11,904,439,202x = 19,601,904,243 × 19,601,904,243
  4. Step 4: Simplify right side
    11,904,439,202x = 384,234,649,951,741,411,328
  5. Step 5: Solve for x
    x = 384,234,649,951,741,411,328/11,904,439,202
  6. Step 6: Final answer
    x = 32,276,585,518.38

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.