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Finding the Third Proportional to 467,295,104 and 997,135,252

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Solution

The third proportional to 467,295,104 and 997,135,252 is: 2,127,731,924.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,295,104 : 997,135,252 = 997,135,252 : x
  2. Step 2: Convert to fraction form
    467,295,104/997,135,252 = 997,135,252/x
  3. Step 3: Cross multiply
    467,295,104x = 997,135,252 × 997,135,252
  4. Step 4: Simplify right side
    467,295,104x = 994,278,710,781,103,488
  5. Step 5: Solve for x
    x = 994,278,710,781,103,488/467,295,104
  6. Step 6: Final answer
    x = 2,127,731,924.15

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.