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Finding the Third Proportional to 41,133,891,271 and 83,424,373,950

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Solution

The third proportional to 41,133,891,271 and 83,424,373,950 is: 169,194,451,434.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,133,891,271 : 83,424,373,950 = 83,424,373,950 : x
  2. Step 2: Convert to fraction form
    41,133,891,271/83,424,373,950 = 83,424,373,950/x
  3. Step 3: Cross multiply
    41,133,891,271x = 83,424,373,950 × 83,424,373,950
  4. Step 4: Simplify right side
    41,133,891,271x = 6,959,626,168,949,438,152,704
  5. Step 5: Solve for x
    x = 6,959,626,168,949,438,152,704/41,133,891,271
  6. Step 6: Final answer
    x = 169,194,451,434.17

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.