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Finding the Third Proportional to 331,189,790,858 and 720,407,460,238

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Solution

The third proportional to 331,189,790,858 and 720,407,460,238 is: 1,567,037,762,311.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,189,790,858 : 720,407,460,238 = 720,407,460,238 : x
  2. Step 2: Convert to fraction form
    331,189,790,858/720,407,460,238 = 720,407,460,238/x
  3. Step 3: Cross multiply
    331,189,790,858x = 720,407,460,238 × 720,407,460,238
  4. Step 4: Simplify right side
    331,189,790,858x = 518,986,908,766,565,579,096,064
  5. Step 5: Solve for x
    x = 518,986,908,766,565,579,096,064/331,189,790,858
  6. Step 6: Final answer
    x = 1,567,037,762,311.60

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.