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Finding the Third Proportional to 214,935,945 and 468,781,383

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Solution

The third proportional to 214,935,945 and 468,781,383 is: 1,022,425,472.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,935,945 : 468,781,383 = 468,781,383 : x
  2. Step 2: Convert to fraction form
    214,935,945/468,781,383 = 468,781,383/x
  3. Step 3: Cross multiply
    214,935,945x = 468,781,383 × 468,781,383
  4. Step 4: Simplify right side
    214,935,945x = 219,755,985,047,392,704
  5. Step 5: Solve for x
    x = 219,755,985,047,392,704/214,935,945
  6. Step 6: Final answer
    x = 1,022,425,472.14

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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.