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Finding the Third Proportional to 962,632,147 and 2,109,807,185

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Solution

The third proportional to 962,632,147 and 2,109,807,185 is: 4,624,078,233.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    962,632,147 : 2,109,807,185 = 2,109,807,185 : x
  2. Step 2: Convert to fraction form
    962,632,147/2,109,807,185 = 2,109,807,185/x
  3. Step 3: Cross multiply
    962,632,147x = 2,109,807,185 × 2,109,807,185
  4. Step 4: Simplify right side
    962,632,147x = 4,451,286,357,877,624,320
  5. Step 5: Solve for x
    x = 4,451,286,357,877,624,320/962,632,147
  6. Step 6: Final answer
    x = 4,624,078,233.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.