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Finding the Third Proportional to 49,478,736 and 100,349,376

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Solution

The third proportional to 49,478,736 and 100,349,376 is: 203,521,716.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,478,736 : 100,349,376 = 100,349,376 : x
  2. Step 2: Convert to fraction form
    49,478,736/100,349,376 = 100,349,376/x
  3. Step 3: Cross multiply
    49,478,736x = 100,349,376 × 100,349,376
  4. Step 4: Simplify right side
    49,478,736x = 10,069,997,263,589,376
  5. Step 5: Solve for x
    x = 10,069,997,263,589,376/49,478,736
  6. Step 6: Final answer
    x = 203,521,716.15

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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.