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Finding the Third Proportional to 231,022,265,192 and 493,837,899,622

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Solution

The third proportional to 231,022,265,192 and 493,837,899,622 is: 1,055,637,952,906.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,022,265,192 : 493,837,899,622 = 493,837,899,622 : x
  2. Step 2: Convert to fraction form
    231,022,265,192/493,837,899,622 = 493,837,899,622/x
  3. Step 3: Cross multiply
    231,022,265,192x = 493,837,899,622 × 493,837,899,622
  4. Step 4: Simplify right side
    231,022,265,192x = 243,875,871,103,068,544,172,032
  5. Step 5: Solve for x
    x = 243,875,871,103,068,544,172,032/231,022,265,192
  6. Step 6: Final answer
    x = 1,055,637,952,906.34

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.