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Finding the Third Proportional to 467,295,084 and 997,135,209

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Solution

The third proportional to 467,295,084 and 997,135,209 is: 2,127,731,831.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,295,084 : 997,135,209 = 997,135,209 : x
  2. Step 2: Convert to fraction form
    467,295,084/997,135,209 = 997,135,209/x
  3. Step 3: Cross multiply
    467,295,084x = 997,135,209 × 997,135,209
  4. Step 4: Simplify right side
    467,295,084x = 994,278,625,027,473,664
  5. Step 5: Solve for x
    x = 994,278,625,027,473,664/467,295,084
  6. Step 6: Final answer
    x = 2,127,731,831.71

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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.