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Finding the Third Proportional to 323,951,944 and 521,669,328

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Solution

The third proportional to 323,951,944 and 521,669,328 is: 840,059,437.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,951,944 : 521,669,328 = 521,669,328 : x
  2. Step 2: Convert to fraction form
    323,951,944/521,669,328 = 521,669,328/x
  3. Step 3: Cross multiply
    323,951,944x = 521,669,328 × 521,669,328
  4. Step 4: Simplify right side
    323,951,944x = 272,138,887,775,971,584
  5. Step 5: Solve for x
    x = 272,138,887,775,971,584/323,951,944
  6. Step 6: Final answer
    x = 840,059,437.26

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.