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Finding the Third Proportional to 293,296,214 and 637,037,812

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Solution

The third proportional to 293,296,214 and 637,037,812 is: 1,383,642,728.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,296,214 : 637,037,812 = 637,037,812 : x
  2. Step 2: Convert to fraction form
    293,296,214/637,037,812 = 637,037,812/x
  3. Step 3: Cross multiply
    293,296,214x = 637,037,812 × 637,037,812
  4. Step 4: Simplify right side
    293,296,214x = 405,817,173,917,747,328
  5. Step 5: Solve for x
    x = 405,817,173,917,747,328/293,296,214
  6. Step 6: Final answer
    x = 1,383,642,728.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.